Least Common Multiple of 5656 and 5657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5656 and 5657 the smallest integer that is 31995992 that is divisible by both numbers.

Least Common Multiple (LCM) of 5656 and 5657 is 31995992.

LCM(5656,5657) = 31995992

LCM of 5656 and 5657

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

LCM of:
and

Least Common Multiple of 5656 and 5657

LCM of 5656 and 5657 is 31995992

Least common multiple can be found by multiplying the highest exponent prime factors of 5656 and 5657. First we will calculate the prime factors of 5656 and 5657.

Prime Factorization of 5656


2 5656
2 2828
2 1414
7 707
101 101
1

Prime factors of 5656 are 2, 7,101. Prime factorization of 5656 in exponential form is:

5656 = 23×71×1011

Prime Factorization of 5657


5657 5657
1

Prime factors of 5657 are 5657. Prime factorization of 5657 in exponential form is:

5657 = 56571

Now multiplying the highest exponent prime factors to calculate the LCM of 5656 and 5657.

LCM(5656,5657) = 23×71×1011×56571
LCM(5656,5657) = 31995992

Factors of 5656

List of positive integer factors of 5656 that divides 5656 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656

Factors of 5657

List of positive integer factors of 5657 that divides 5657 without a remainder.

1, 5657

Least Common Multiple of 5656 and 5657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5656 and 5657, than apply into the LCM equation.

GCF(5656,5657) = 1
LCM(5656,5657) = ( 5656 × 5657) / 1
LCM(5656,5657) = 31995992 / 1
LCM(5656,5657) = 31995992

Properties of LCM 5656 and 5657

(i) The LCM of 5657 and 5656 is associative

LCM of 5656 and 5657 = LCM of 5657 and 5656

Related Least Common Multiples of 5656

Related Least Common Multiples of 5657

Frequently Asked Questions on LCM of 5656 and 5657

1. What is the LCM of 5656 and 5657?

Answer: LCM of 5656 and 5657 is 31995992.

2. What are the Factors of 5656?

Answer: Factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656. There are 16 integers that are factors of 5656. The greatest factor of 5656 is 5656.

3. What are the Factors of 5657?

Answer: Factors of 5657 are 1, 5657. There are 2 integers that are factors of 5657. The greatest factor of 5657 is 5657.

4. How to Find the LCM of 5656 and 5657?

Answer:

Least Common Multiple of 5656 and 5657 = 31995992

Step 1: Find the prime factorization of 5656

5656 = 2 x 2 x 2 x 7 x 101

Step 2: Find the prime factorization of 5657

5657 = 5657

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

LCM = 31995992 = 2 x 2 x 2 x 7 x 101 x 5657

Step 4: Therefore, the least common multiple of 5656 and 5657 is 31995992.