Least Common Multiple of 127 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 127 and 132 the smallest integer that is 16764 that is divisible by both numbers.

Least Common Multiple (LCM) of 127 and 132 is 16764.

LCM(127,132) = 16764

LCM of 127 and 132

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

LCM of:
and

Least Common Multiple of 127 and 132

LCM of 127 and 132 is 16764

Least common multiple can be found by multiplying the highest exponent prime factors of 127 and 132. First we will calculate the prime factors of 127 and 132.

Prime Factorization of 127


127 127
1

Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:

127 = 1271

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 127 and 132.

LCM(127,132) = 22×31×111×1271
LCM(127,132) = 16764

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1, 127

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 127 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 127 and 132, than apply into the LCM equation.

GCF(127,132) = 1
LCM(127,132) = ( 127 × 132) / 1
LCM(127,132) = 16764 / 1
LCM(127,132) = 16764

Properties of LCM 127 and 132

(i) The LCM of 132 and 127 is associative

LCM of 127 and 132 = LCM of 132 and 127

Related Least Common Multiples of 127

Related Least Common Multiples of 132

Frequently Asked Questions on LCM of 127 and 132

1. What is the LCM of 127 and 132?

Answer: LCM of 127 and 132 is 16764.

2. What are the Factors of 127?

Answer: Factors of 127 are 1, 127. There are 2 integers that are factors of 127. The greatest factor of 127 is 127.

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 127 and 132?

Answer:

Least Common Multiple of 127 and 132 = 16764

Step 1: Find the prime factorization of 127

127 = 127

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 = 16764 = 2 x 2 x 3 x 11 x 127

Step 4: Therefore, the least common multiple of 127 and 132 is 16764.