Least Common Multiple of 6084 and 6092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6084 and 6092 the smallest integer that is 9265932 that is divisible by both numbers.

Least Common Multiple (LCM) of 6084 and 6092 is 9265932.

LCM(6084,6092) = 9265932

LCM of 6084 and 6092

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

LCM of:
and

Least Common Multiple of 6084 and 6092

LCM of 6084 and 6092 is 9265932

Least common multiple can be found by multiplying the highest exponent prime factors of 6084 and 6092. First we will calculate the prime factors of 6084 and 6092.

Prime Factorization of 6084


2 6084
2 3042
3 1521
3 507
13 169
13 13
1

Prime factors of 6084 are 2, 3,13. Prime factorization of 6084 in exponential form is:

6084 = 22×32×132

Prime Factorization of 6092


2 6092
2 3046
1523 1523
1

Prime factors of 6092 are 2,1523. Prime factorization of 6092 in exponential form is:

6092 = 22×15231

Now multiplying the highest exponent prime factors to calculate the LCM of 6084 and 6092.

LCM(6084,6092) = 22×32×132×15231
LCM(6084,6092) = 9265932

Factors of 6084

List of positive integer factors of 6084 that divides 6084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084

Factors of 6092

List of positive integer factors of 6092 that divides 6092 without a remainder.

1, 2, 4, 1523, 3046, 6092

Least Common Multiple of 6084 and 6092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6084 and 6092, than apply into the LCM equation.

GCF(6084,6092) = 4
LCM(6084,6092) = ( 6084 × 6092) / 4
LCM(6084,6092) = 37063728 / 4
LCM(6084,6092) = 9265932

Properties of LCM 6084 and 6092

(i) The LCM of 6092 and 6084 is associative

LCM of 6084 and 6092 = LCM of 6092 and 6084

Related Least Common Multiples of 6084

Related Least Common Multiples of 6092

Frequently Asked Questions on LCM of 6084 and 6092

1. What is the LCM of 6084 and 6092?

Answer: LCM of 6084 and 6092 is 9265932.

2. What are the Factors of 6084?

Answer: Factors of 6084 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084. There are 27 integers that are factors of 6084. The greatest factor of 6084 is 6084.

3. What are the Factors of 6092?

Answer: Factors of 6092 are 1, 2, 4, 1523, 3046, 6092. There are 6 integers that are factors of 6092. The greatest factor of 6092 is 6092.

4. How to Find the LCM of 6084 and 6092?

Answer:

Least Common Multiple of 6084 and 6092 = 9265932

Step 1: Find the prime factorization of 6084

6084 = 2 x 2 x 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 6092

6092 = 2 x 2 x 1523

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

LCM = 9265932 = 2 x 2 x 3 x 3 x 13 x 13 x 1523

Step 4: Therefore, the least common multiple of 6084 and 6092 is 9265932.