Least Common Multiple of 6129 and 6132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6129 and 6132 the smallest integer that is 12527676 that is divisible by both numbers.

Least Common Multiple (LCM) of 6129 and 6132 is 12527676.

LCM(6129,6132) = 12527676

LCM of 6129 and 6132

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

LCM of:
and

Least Common Multiple of 6129 and 6132

LCM of 6129 and 6132 is 12527676

Least common multiple can be found by multiplying the highest exponent prime factors of 6129 and 6132. First we will calculate the prime factors of 6129 and 6132.

Prime Factorization of 6129


3 6129
3 2043
3 681
227 227
1

Prime factors of 6129 are 3,227. Prime factorization of 6129 in exponential form is:

6129 = 33×2271

Prime Factorization of 6132


2 6132
2 3066
3 1533
7 511
73 73
1

Prime factors of 6132 are 2, 3, 7,73. Prime factorization of 6132 in exponential form is:

6132 = 22×31×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6129 and 6132.

LCM(6129,6132) = 22×33×71×731×2271
LCM(6129,6132) = 12527676

Factors of 6129

List of positive integer factors of 6129 that divides 6129 without a remainder.

1, 3, 9, 27, 227, 681, 2043, 6129

Factors of 6132

List of positive integer factors of 6132 that divides 6132 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132

Least Common Multiple of 6129 and 6132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6129 and 6132, than apply into the LCM equation.

GCF(6129,6132) = 3
LCM(6129,6132) = ( 6129 × 6132) / 3
LCM(6129,6132) = 37583028 / 3
LCM(6129,6132) = 12527676

Properties of LCM 6129 and 6132

(i) The LCM of 6132 and 6129 is associative

LCM of 6129 and 6132 = LCM of 6132 and 6129

Related Least Common Multiples of 6129

Related Least Common Multiples of 6132

Frequently Asked Questions on LCM of 6129 and 6132

1. What is the LCM of 6129 and 6132?

Answer: LCM of 6129 and 6132 is 12527676.

2. What are the Factors of 6129?

Answer: Factors of 6129 are 1, 3, 9, 27, 227, 681, 2043, 6129. There are 8 integers that are factors of 6129. The greatest factor of 6129 is 6129.

3. What are the Factors of 6132?

Answer: Factors of 6132 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132. There are 24 integers that are factors of 6132. The greatest factor of 6132 is 6132.

4. How to Find the LCM of 6129 and 6132?

Answer:

Least Common Multiple of 6129 and 6132 = 12527676

Step 1: Find the prime factorization of 6129

6129 = 3 x 3 x 3 x 227

Step 2: Find the prime factorization of 6132

6132 = 2 x 2 x 3 x 7 x 73

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

LCM = 12527676 = 2 x 2 x 3 x 3 x 3 x 7 x 73 x 227

Step 4: Therefore, the least common multiple of 6129 and 6132 is 12527676.