Least Common Multiple of 131 and 132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 131 and 132 the smallest integer that is 17292 that is divisible by both numbers.

Least Common Multiple (LCM) of 131 and 132 is 17292.

LCM(131,132) = 17292

LCM of 131 and 132

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

LCM of:
and

Least Common Multiple of 131 and 132

LCM of 131 and 132 is 17292

Least common multiple can be found by multiplying the highest exponent prime factors of 131 and 132. First we will calculate the prime factors of 131 and 132.

Prime Factorization of 131


131 131
1

Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:

131 = 1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 131 and 132.

LCM(131,132) = 22×31×111×1311
LCM(131,132) = 17292

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1, 131

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

Least Common Multiple of 131 and 132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 131 and 132, than apply into the LCM equation.

GCF(131,132) = 1
LCM(131,132) = ( 131 × 132) / 1
LCM(131,132) = 17292 / 1
LCM(131,132) = 17292

Properties of LCM 131 and 132

(i) The LCM of 132 and 131 is associative

LCM of 131 and 132 = LCM of 132 and 131

Related Least Common Multiples of 131

Related Least Common Multiples of 132

Frequently Asked Questions on LCM of 131 and 132

1. What is the LCM of 131 and 132?

Answer: LCM of 131 and 132 is 17292.

2. What are the Factors of 131?

Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.

3. 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.

4. How to Find the LCM of 131 and 132?

Answer:

Least Common Multiple of 131 and 132 = 17292

Step 1: Find the prime factorization of 131

131 = 131

Step 2: Find the prime factorization of 132

132 = 2 x 2 x 3 x 11

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

LCM = 17292 = 2 x 2 x 3 x 11 x 131

Step 4: Therefore, the least common multiple of 131 and 132 is 17292.