Least Common Multiple of 6132 and 6138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6132 and 6138 the smallest integer that is 6273036 that is divisible by both numbers.

Least Common Multiple (LCM) of 6132 and 6138 is 6273036.

LCM(6132,6138) = 6273036

LCM of 6132 and 6138

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

LCM of:
and

Least Common Multiple of 6132 and 6138

LCM of 6132 and 6138 is 6273036

Least common multiple can be found by multiplying the highest exponent prime factors of 6132 and 6138. First we will calculate the prime factors of 6132 and 6138.

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

Prime Factorization of 6138


2 6138
3 3069
3 1023
11 341
31 31
1

Prime factors of 6138 are 2, 3, 11,31. Prime factorization of 6138 in exponential form is:

6138 = 21×32×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6132 and 6138.

LCM(6132,6138) = 22×32×71×111×311×731
LCM(6132,6138) = 6273036

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

Factors of 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138

Least Common Multiple of 6132 and 6138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6132 and 6138, than apply into the LCM equation.

GCF(6132,6138) = 6
LCM(6132,6138) = ( 6132 × 6138) / 6
LCM(6132,6138) = 37638216 / 6
LCM(6132,6138) = 6273036

Properties of LCM 6132 and 6138

(i) The LCM of 6138 and 6132 is associative

LCM of 6132 and 6138 = LCM of 6138 and 6132

Related Least Common Multiples of 6132

Related Least Common Multiples of 6138

Frequently Asked Questions on LCM of 6132 and 6138

1. What is the LCM of 6132 and 6138?

Answer: LCM of 6132 and 6138 is 6273036.

2. 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.

3. What are the Factors of 6138?

Answer: Factors of 6138 are 1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138. There are 24 integers that are factors of 6138. The greatest factor of 6138 is 6138.

4. How to Find the LCM of 6132 and 6138?

Answer:

Least Common Multiple of 6132 and 6138 = 6273036

Step 1: Find the prime factorization of 6132

6132 = 2 x 2 x 3 x 7 x 73

Step 2: Find the prime factorization of 6138

6138 = 2 x 3 x 3 x 11 x 31

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

LCM = 6273036 = 2 x 2 x 3 x 3 x 7 x 11 x 31 x 73

Step 4: Therefore, the least common multiple of 6132 and 6138 is 6273036.