Least Common Multiple of 6152 and 6156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6152 and 6156 the smallest integer that is 9467928 that is divisible by both numbers.

Least Common Multiple (LCM) of 6152 and 6156 is 9467928.

LCM(6152,6156) = 9467928

LCM of 6152 and 6156

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

LCM of:
and

Least Common Multiple of 6152 and 6156

LCM of 6152 and 6156 is 9467928

Least common multiple can be found by multiplying the highest exponent prime factors of 6152 and 6156. First we will calculate the prime factors of 6152 and 6156.

Prime Factorization of 6152


2 6152
2 3076
2 1538
769 769
1

Prime factors of 6152 are 2,769. Prime factorization of 6152 in exponential form is:

6152 = 23×7691

Prime Factorization of 6156


2 6156
2 3078
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 6156 are 2, 3,19. Prime factorization of 6156 in exponential form is:

6156 = 22×34×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6152 and 6156.

LCM(6152,6156) = 23×34×191×7691
LCM(6152,6156) = 9467928

Factors of 6152

List of positive integer factors of 6152 that divides 6152 without a remainder.

1, 2, 4, 8, 769, 1538, 3076, 6152

Factors of 6156

List of positive integer factors of 6156 that divides 6156 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 324, 342, 513, 684, 1026, 1539, 2052, 3078, 6156

Least Common Multiple of 6152 and 6156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6152 and 6156, than apply into the LCM equation.

GCF(6152,6156) = 4
LCM(6152,6156) = ( 6152 × 6156) / 4
LCM(6152,6156) = 37871712 / 4
LCM(6152,6156) = 9467928

Properties of LCM 6152 and 6156

(i) The LCM of 6156 and 6152 is associative

LCM of 6152 and 6156 = LCM of 6156 and 6152

Related Least Common Multiples of 6152

Related Least Common Multiples of 6156

Frequently Asked Questions on LCM of 6152 and 6156

1. What is the LCM of 6152 and 6156?

Answer: LCM of 6152 and 6156 is 9467928.

2. What are the Factors of 6152?

Answer: Factors of 6152 are 1, 2, 4, 8, 769, 1538, 3076, 6152. There are 8 integers that are factors of 6152. The greatest factor of 6152 is 6152.

3. What are the Factors of 6156?

Answer: Factors of 6156 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 324, 342, 513, 684, 1026, 1539, 2052, 3078, 6156. There are 30 integers that are factors of 6156. The greatest factor of 6156 is 6156.

4. How to Find the LCM of 6152 and 6156?

Answer:

Least Common Multiple of 6152 and 6156 = 9467928

Step 1: Find the prime factorization of 6152

6152 = 2 x 2 x 2 x 769

Step 2: Find the prime factorization of 6156

6156 = 2 x 2 x 3 x 3 x 3 x 3 x 19

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

LCM = 9467928 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 19 x 769

Step 4: Therefore, the least common multiple of 6152 and 6156 is 9467928.