Least Common Multiple of 5657 and 5664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5657 and 5664 the smallest integer that is 32041248 that is divisible by both numbers.

Least Common Multiple (LCM) of 5657 and 5664 is 32041248.

LCM(5657,5664) = 32041248

LCM of 5657 and 5664

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

LCM of:
and

Least Common Multiple of 5657 and 5664

LCM of 5657 and 5664 is 32041248

Least common multiple can be found by multiplying the highest exponent prime factors of 5657 and 5664. First we will calculate the prime factors of 5657 and 5664.

Prime Factorization of 5657


5657 5657
1

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

5657 = 56571

Prime Factorization of 5664


2 5664
2 2832
2 1416
2 708
2 354
3 177
59 59
1

Prime factors of 5664 are 2, 3,59. Prime factorization of 5664 in exponential form is:

5664 = 25×31×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5657 and 5664.

LCM(5657,5664) = 25×31×591×56571
LCM(5657,5664) = 32041248

Factors of 5657

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

1, 5657

Factors of 5664

List of positive integer factors of 5664 that divides 5664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664

Least Common Multiple of 5657 and 5664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5657 and 5664, than apply into the LCM equation.

GCF(5657,5664) = 1
LCM(5657,5664) = ( 5657 × 5664) / 1
LCM(5657,5664) = 32041248 / 1
LCM(5657,5664) = 32041248

Properties of LCM 5657 and 5664

(i) The LCM of 5664 and 5657 is associative

LCM of 5657 and 5664 = LCM of 5664 and 5657

Related Least Common Multiples of 5657

Related Least Common Multiples of 5664

Frequently Asked Questions on LCM of 5657 and 5664

1. What is the LCM of 5657 and 5664?

Answer: LCM of 5657 and 5664 is 32041248.

2. 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.

3. What are the Factors of 5664?

Answer: Factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664. There are 24 integers that are factors of 5664. The greatest factor of 5664 is 5664.

4. How to Find the LCM of 5657 and 5664?

Answer:

Least Common Multiple of 5657 and 5664 = 32041248

Step 1: Find the prime factorization of 5657

5657 = 5657

Step 2: Find the prime factorization of 5664

5664 = 2 x 2 x 2 x 2 x 2 x 3 x 59

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

LCM = 32041248 = 2 x 2 x 2 x 2 x 2 x 3 x 59 x 5657

Step 4: Therefore, the least common multiple of 5657 and 5664 is 32041248.