LCM of 14 and 49

LCM of 14 and 49 is 98. The method to determine the smallest common multiple of the given numbers is the LCM value. Least common multiples of 14 and 49 can be known from the common multiples as given in this article. (14, 28, 42, 56, ….) and (49, 98, 147, 196, 245, 294, ….) are the multiples of 14 and 49. The LCM of two numbers as per the listing of multiples, prime factorization and division methods are available here.

Also read: Least common multiple

What is LCM of 14 and 49?

The answer to this question is 98. The LCM of 14 and 49 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 14 and 49, is the smallest positive integer 98 which is divisible by both 14 and 49 with no remainder.

How to Find LCM of 14 and 49?

LCM of 14 and 49 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 14 and 49 Using Prime Factorisation Method

The prime factorisation of 14 and 49, respectively, is given by:

14 = 2 x 7 = 2¹ x 7¹

49 = 7 x 7 = 7²

LCM (14, 49) = 98

LCM of 14 and 49 Using Division Method

We’ll divide the numbers (14, 49) by their prime factors to get the LCM of 14 and 49 using the division method (preferably common). The LCM of 14 and 49 is calculated by multiplying these divisors.

No further division can be done. 

Hence, LCM (14, 49) = 98

LCM of 14 and 49 Using Listing the Multiples

To calculate the LCM of 14 and 49 by listing out the common multiples, list the multiples as shown below

LCM (14, 49) = 98

Related Articles

• Prime Factorization and Division Method for LCM and HCF
• Prime Factors
• Properties of HCF and LCM
• LCM Formula

Video Lesson on Applications of LCM

LCM of 14 and 49 Solved Examples 

Question: The LCM and GCD of two numbers are 98 and 7. If one number is 49, determine the other.

Solution:

Consider m as the other number

GCD x LCM = 49 x m

m = (GCD x LCM)/49

m = (7 x 98)/49

m = 14

Hence, the other number is 14.