Least Common Multiple of 6052 and 6057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6052 and 6057 the smallest integer that is 36656964 that is divisible by both numbers.

Least Common Multiple (LCM) of 6052 and 6057 is 36656964.

LCM(6052,6057) = 36656964

LCM of 6052 and 6057

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

LCM of:
and

Least Common Multiple of 6052 and 6057

LCM of 6052 and 6057 is 36656964

Least common multiple can be found by multiplying the highest exponent prime factors of 6052 and 6057. First we will calculate the prime factors of 6052 and 6057.

Prime Factorization of 6052


2 6052
2 3026
17 1513
89 89
1

Prime factors of 6052 are 2, 17,89. Prime factorization of 6052 in exponential form is:

6052 = 22×171×891

Prime Factorization of 6057


3 6057
3 2019
673 673
1

Prime factors of 6057 are 3,673. Prime factorization of 6057 in exponential form is:

6057 = 32×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 6052 and 6057.

LCM(6052,6057) = 22×32×171×891×6731
LCM(6052,6057) = 36656964

Factors of 6052

List of positive integer factors of 6052 that divides 6052 without a remainder.

1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052

Factors of 6057

List of positive integer factors of 6057 that divides 6057 without a remainder.

1, 3, 9, 673, 2019, 6057

Least Common Multiple of 6052 and 6057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6052 and 6057, than apply into the LCM equation.

GCF(6052,6057) = 1
LCM(6052,6057) = ( 6052 × 6057) / 1
LCM(6052,6057) = 36656964 / 1
LCM(6052,6057) = 36656964

Properties of LCM 6052 and 6057

(i) The LCM of 6057 and 6052 is associative

LCM of 6052 and 6057 = LCM of 6057 and 6052

Related Least Common Multiples of 6052

Related Least Common Multiples of 6057

Frequently Asked Questions on LCM of 6052 and 6057

1. What is the LCM of 6052 and 6057?

Answer: LCM of 6052 and 6057 is 36656964.

2. What are the Factors of 6052?

Answer: Factors of 6052 are 1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052. There are 12 integers that are factors of 6052. The greatest factor of 6052 is 6052.

3. What are the Factors of 6057?

Answer: Factors of 6057 are 1, 3, 9, 673, 2019, 6057. There are 6 integers that are factors of 6057. The greatest factor of 6057 is 6057.

4. How to Find the LCM of 6052 and 6057?

Answer:

Least Common Multiple of 6052 and 6057 = 36656964

Step 1: Find the prime factorization of 6052

6052 = 2 x 2 x 17 x 89

Step 2: Find the prime factorization of 6057

6057 = 3 x 3 x 673

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

LCM = 36656964 = 2 x 2 x 3 x 3 x 17 x 89 x 673

Step 4: Therefore, the least common multiple of 6052 and 6057 is 36656964.