Least Common Multiple of 3052 and 3057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3052 and 3057 the smallest integer that is 9329964 that is divisible by both numbers.

Least Common Multiple (LCM) of 3052 and 3057 is 9329964.

LCM(3052,3057) = 9329964

LCM of 3052 and 3057

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

LCM of:
and

Least Common Multiple of 3052 and 3057

LCM of 3052 and 3057 is 9329964

Least common multiple can be found by multiplying the highest exponent prime factors of 3052 and 3057. First we will calculate the prime factors of 3052 and 3057.

Prime Factorization of 3052


2 3052
2 1526
7 763
109 109
1

Prime factors of 3052 are 2, 7,109. Prime factorization of 3052 in exponential form is:

3052 = 22×71×1091

Prime Factorization of 3057


3 3057
1019 1019
1

Prime factors of 3057 are 3,1019. Prime factorization of 3057 in exponential form is:

3057 = 31×10191

Now multiplying the highest exponent prime factors to calculate the LCM of 3052 and 3057.

LCM(3052,3057) = 22×31×71×1091×10191
LCM(3052,3057) = 9329964

Factors of 3052

List of positive integer factors of 3052 that divides 3052 without a remainder.

1, 2, 4, 7, 14, 28, 109, 218, 436, 763, 1526, 3052

Factors of 3057

List of positive integer factors of 3057 that divides 3057 without a remainder.

1, 3, 1019, 3057

Least Common Multiple of 3052 and 3057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3052 and 3057, than apply into the LCM equation.

GCF(3052,3057) = 1
LCM(3052,3057) = ( 3052 × 3057) / 1
LCM(3052,3057) = 9329964 / 1
LCM(3052,3057) = 9329964

Properties of LCM 3052 and 3057

(i) The LCM of 3057 and 3052 is associative

LCM of 3052 and 3057 = LCM of 3057 and 3052

Related Least Common Multiples of 3052

Related Least Common Multiples of 3057

Frequently Asked Questions on LCM of 3052 and 3057

1. What is the LCM of 3052 and 3057?

Answer: LCM of 3052 and 3057 is 9329964.

2. What are the Factors of 3052?

Answer: Factors of 3052 are 1, 2, 4, 7, 14, 28, 109, 218, 436, 763, 1526, 3052. There are 12 integers that are factors of 3052. The greatest factor of 3052 is 3052.

3. What are the Factors of 3057?

Answer: Factors of 3057 are 1, 3, 1019, 3057. There are 4 integers that are factors of 3057. The greatest factor of 3057 is 3057.

4. How to Find the LCM of 3052 and 3057?

Answer:

Least Common Multiple of 3052 and 3057 = 9329964

Step 1: Find the prime factorization of 3052

3052 = 2 x 2 x 7 x 109

Step 2: Find the prime factorization of 3057

3057 = 3 x 1019

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

LCM = 9329964 = 2 x 2 x 3 x 7 x 109 x 1019

Step 4: Therefore, the least common multiple of 3052 and 3057 is 9329964.