LCM of 14 and 70

LCM of 14 and 70 is 70. The common multiple divisible evenly by 14 and 70 gives the LCM value. We can get the least common multiple of 14 and 70 by considering the common multiples of each number. (14, 28, 42, 56, 70, ….) and (70, 140, 210, 280, 350, 420, 490,….) are the first few multiples of 14 and 70. Various methods like division, prime factorisation and listing of multiples are used in the calculation of the LCM

Also read: Least common multiple

What is LCM of 14 and 70?

The answer to this question is 70. The LCM of 14 and 70 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 14 and 70, is the smallest positive integer 70 which is divisible by both 14 and 70 with no remainder.

Lcm Of 14 And 70

How to Find LCM of 14 and 70?

LCM of 14 and 70 can be found using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 14 and 70 Using Prime Factorisation Method

The prime factorisation of 14 and 70, respectively, is given by:

14 = 2 x 7 = 2¹ x 7¹

70 = 2 x 5 x 7 = 2¹ x 5¹ x 7¹

LCM (14, 70) = 70

LCM of 14 and 70 Using Division Method

We’ll divide the numbers (14, 70) by their prime factors to get the LCM of 14 and 70 using the division method (preferably common). The LCM of 14 and 70 is calculated by multiplying these divisors.

2

14

70

5

7

35

7

7

7

x

1

1

No further division can be done. 

Hence, LCM (14, 70) = 70

LCM of 14 and 70 Using Listing the Multiples

To calculate the LCM of 14 and 70 by listing out the common multiples, list the multiples as shown below:

Multiples of 14

Multiples of 70

14

70

28

140

42

210

56

280

70

350

LCM (14, 70) = 70

Related Articles

Video Lesson on Applications of LCM

LCM of 14 and 70 Solved Examples 

Question: If the GCD is 14 and the product of two numbers is 980, calculate the LCM.

Solution:

It is given that

Product of two numbers = 980

GCD = 14

We know that

LCM x GCD = Product of two numbers

LCM = Product/GCD

LCM = 980/14

LCM = 70

Hence, the LCM is 70.

Frequently Asked Questions on LCM of 14 and 70

Q1

Find the LCM of 14 and 70.

To find the LCM, the multiples of 14 and 70 should be known and the smallest multiple exactly divisible by 14 and 70 has to be found.
Q2

What methods can be used to find the LCM of 14 and 70?

The methods that can be used to find the LCM of 14 and 70 are Prime Factorization Method, Division Method and Listing multiples.
Q3

Find the GCF if the LCM of 14 and 70 is 70.

LCM x GCF = 14 x 70

Given

LCM of 14 and 70 = 70

70 x GCF = 980

GCF = 980/70 = 14

Q4

What is the LCM of 14 and 70?

The LCM of 14 and 70 is 70.
Q5

Among the numbers 11, 70, 40, 20, find the LCM of 14 and 70.

The smallest common multiple which is divisible evenly by 14 and 70 indicates the LCM. The number which satisfies this condition is 70.

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