Least Common Multiple of 5659 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 5659 and 5664 the smallest integer that is 32052576 that is divisible by both numbers.

Least Common Multiple (LCM) of 5659 and 5664 is 32052576.

LCM(5659,5664) = 32052576

LCM of 5659 and 5664

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

LCM of:
and

Least Common Multiple of 5659 and 5664

LCM of 5659 and 5664 is 32052576

Least common multiple can be found by multiplying the highest exponent prime factors of 5659 and 5664. First we will calculate the prime factors of 5659 and 5664.

Prime Factorization of 5659


5659 5659
1

Prime factors of 5659 are 5659. Prime factorization of 5659 in exponential form is:

5659 = 56591

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 5659 and 5664.

LCM(5659,5664) = 25×31×591×56591
LCM(5659,5664) = 32052576

Factors of 5659

List of positive integer factors of 5659 that divides 5659 without a remainder.

1, 5659

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 5659 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 5659 and 5664, than apply into the LCM equation.

GCF(5659,5664) = 1
LCM(5659,5664) = ( 5659 × 5664) / 1
LCM(5659,5664) = 32052576 / 1
LCM(5659,5664) = 32052576

Properties of LCM 5659 and 5664

(i) The LCM of 5664 and 5659 is associative

LCM of 5659 and 5664 = LCM of 5664 and 5659

Related Least Common Multiples of 5659

Related Least Common Multiples of 5664

Frequently Asked Questions on LCM of 5659 and 5664

1. What is the LCM of 5659 and 5664?

Answer: LCM of 5659 and 5664 is 32052576.

2. What are the Factors of 5659?

Answer: Factors of 5659 are 1, 5659. There are 2 integers that are factors of 5659. The greatest factor of 5659 is 5659.

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 5659 and 5664?

Answer:

Least Common Multiple of 5659 and 5664 = 32052576

Step 1: Find the prime factorization of 5659

5659 = 5659

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 = 32052576 = 2 x 2 x 2 x 2 x 2 x 3 x 59 x 5659

Step 4: Therefore, the least common multiple of 5659 and 5664 is 32052576.