Least Common Multiple of 132 and 140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 132 and 140 the smallest integer that is 4620 that is divisible by both numbers.

Least Common Multiple (LCM) of 132 and 140 is 4620.

LCM(132,140) = 4620

LCM of 132 and 140

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 132 and 140

LCM of 132 and 140 is 4620

Least common multiple can be found by multiplying the highest exponent prime factors of 132 and 140. First we will calculate the prime factors of 132 and 140.

Prime Factorization of 132


2 132
2 66
3 33
11 11
1

Prime factors of 132 are 2, 3,11. Prime factorization of 132 in exponential form is:

132 = 22×31×111

Prime Factorization of 140


2 140
2 70
5 35
7 7
1

Prime factors of 140 are 2, 5,7. Prime factorization of 140 in exponential form is:

140 = 22×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 132 and 140.

LCM(132,140) = 22×31×51×71×111
LCM(132,140) = 4620

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Least Common Multiple of 132 and 140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 132 and 140, than apply into the LCM equation.

GCF(132,140) = 4
LCM(132,140) = ( 132 × 140) / 4
LCM(132,140) = 18480 / 4
LCM(132,140) = 4620

Properties of LCM 132 and 140

(i) The LCM of 140 and 132 is associative

LCM of 132 and 140 = LCM of 140 and 132

Related Least Common Multiples of 132

Related Least Common Multiples of 140

Frequently Asked Questions on LCM of 132 and 140

1. What is the LCM of 132 and 140?

Answer: LCM of 132 and 140 is 4620.

2. What are the Factors of 132?

Answer: Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132. There are 12 integers that are factors of 132. The greatest factor of 132 is 132.

3. What are the Factors of 140?

Answer: Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. There are 12 integers that are factors of 140. The greatest factor of 140 is 140.

4. How to Find the LCM of 132 and 140?

Answer:

Least Common Multiple of 132 and 140 = 4620

Step 1: Find the prime factorization of 132

132 = 2 x 2 x 3 x 11

Step 2: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 4620 = 2 x 2 x 3 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 132 and 140 is 4620.