Least Common Multiple of 5656 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 5656 and 5664 the smallest integer that is 4004448 that is divisible by both numbers.

Least Common Multiple (LCM) of 5656 and 5664 is 4004448.

LCM(5656,5664) = 4004448

LCM of 5656 and 5664

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

LCM of:
and

Least Common Multiple of 5656 and 5664

LCM of 5656 and 5664 is 4004448

Least common multiple can be found by multiplying the highest exponent prime factors of 5656 and 5664. First we will calculate the prime factors of 5656 and 5664.

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 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 5656 and 5664.

LCM(5656,5664) = 25×31×71×591×1011
LCM(5656,5664) = 4004448

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 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 5656 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 5656 and 5664, than apply into the LCM equation.

GCF(5656,5664) = 8
LCM(5656,5664) = ( 5656 × 5664) / 8
LCM(5656,5664) = 32035584 / 8
LCM(5656,5664) = 4004448

Properties of LCM 5656 and 5664

(i) The LCM of 5664 and 5656 is associative

LCM of 5656 and 5664 = LCM of 5664 and 5656

Related Least Common Multiples of 5656

Related Least Common Multiples of 5664

Frequently Asked Questions on LCM of 5656 and 5664

1. What is the LCM of 5656 and 5664?

Answer: LCM of 5656 and 5664 is 4004448.

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 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 5656 and 5664?

Answer:

Least Common Multiple of 5656 and 5664 = 4004448

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 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 = 4004448 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 59 x 101

Step 4: Therefore, the least common multiple of 5656 and 5664 is 4004448.