LCM of 28 and 35

LCM of 28 and 32 is 140. LCM stands for the Least Common multiple or Lowest common multiple. LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 28 and 32, 140 is the first(least or smallest) number that is common in the set of common multiples of 28 and 35. The LCM which is also known as LCD, Least Common Divisor for 28 and 35 is 140. You can read more on LCM for further details.

What is LCM of 28 and 35

The Least Common Multiple or Lowest Common Multiple of 28 and 35 is 140.

lcm of 28 and 35

How to Find LCM of 28 and 35?

LCM of 28 and 35 can be determined using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 28 and 35 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 28 and 35 can be expressed as;

28 = 2 × 2 × 7

35 = 5 × 7 

LCM (28, 35) = 2 × 2 × 5 × 7 = 140

LCM of 28 and 35 Using Division Method

In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left. 

2

28

35

2

14

35

5

7

35

7

7

7

x

1

1

LCM (28, 35) = 2 × 2 × 5 × 7 = 140

LCM of 28 and 35 Using Listing the Multiples

By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 28 and 35.

Multiples of 28

Multiples of 35

28

35

56

70

84

105

112

140

140

175

168

210

LCM (28, 35) = 140

Related Articles

Video Lesson on Applications of LCM

Solved Examples 

What is the smallest number that is divisible by both 28 and 32?

Answer: 140 is the smallest number that is divisible by both 28 and 32. 

What is the LCM for 7, 28 and 35? 

Answer: LCM for 7, 28 and 35 is 140.

Frequently Asked Questions on LCM of 28 and 35

Q1

What is the LCM of 28 and 35?

The LCM of 28 and 35 is 140.
Q2

Is the LCM of 28 and 35 the same as the Highest Common Factor of 28 and 35?

No. Least Common Multiple of 28 and 35 is 140 and Highest Common Factor of 28 and 35 is 7.
Q3

What are the common factors of 28 and 35?

1 and 7 are the common factors of 28 and 35.
Q4

What are the first 3 common multiples of 28 and 35?

The first three common multiples of 28 and 35 are 140, 280, and 420.
Q5

Is the LCM of 7 and 28 same as the LCM of 7 and 35?

No. LCM of 7 and 14 is 28, whereas the LCM of 7 and 35 is 35. They are not the same.

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