Least Common Multiple of 5653 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 5653 and 5657 the smallest integer that is 31979021 that is divisible by both numbers.

Least Common Multiple (LCM) of 5653 and 5657 is 31979021.

LCM(5653,5657) = 31979021

LCM of 5653 and 5657

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

LCM of:
and

Least Common Multiple of 5653 and 5657

LCM of 5653 and 5657 is 31979021

Least common multiple can be found by multiplying the highest exponent prime factors of 5653 and 5657. First we will calculate the prime factors of 5653 and 5657.

Prime Factorization of 5653


5653 5653
1

Prime factors of 5653 are 5653. Prime factorization of 5653 in exponential form is:

5653 = 56531

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 5653 and 5657.

LCM(5653,5657) = 56531×56571
LCM(5653,5657) = 31979021

Factors of 5653

List of positive integer factors of 5653 that divides 5653 without a remainder.

1, 5653

Factors of 5657

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

1, 5657

Least Common Multiple of 5653 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 5653 and 5657, than apply into the LCM equation.

GCF(5653,5657) = 1
LCM(5653,5657) = ( 5653 × 5657) / 1
LCM(5653,5657) = 31979021 / 1
LCM(5653,5657) = 31979021

Properties of LCM 5653 and 5657

(i) The LCM of 5657 and 5653 is associative

LCM of 5653 and 5657 = LCM of 5657 and 5653

Related Least Common Multiples of 5653

Related Least Common Multiples of 5657

Frequently Asked Questions on LCM of 5653 and 5657

1. What is the LCM of 5653 and 5657?

Answer: LCM of 5653 and 5657 is 31979021.

2. What are the Factors of 5653?

Answer: Factors of 5653 are 1, 5653. There are 2 integers that are factors of 5653. The greatest factor of 5653 is 5653.

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 5653 and 5657?

Answer:

Least Common Multiple of 5653 and 5657 = 31979021

Step 1: Find the prime factorization of 5653

5653 = 5653

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 = 31979021 = 5653 x 5657

Step 4: Therefore, the least common multiple of 5653 and 5657 is 31979021.