Least Common Multiple of 5664 and 5668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5664 and 5668 the smallest integer that is 8025888 that is divisible by both numbers.

Least Common Multiple (LCM) of 5664 and 5668 is 8025888.

LCM(5664,5668) = 8025888

LCM of 5664 and 5668

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

LCM of:
and

Least Common Multiple of 5664 and 5668

LCM of 5664 and 5668 is 8025888

Least common multiple can be found by multiplying the highest exponent prime factors of 5664 and 5668. First we will calculate the prime factors of 5664 and 5668.

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

Prime Factorization of 5668


2 5668
2 2834
13 1417
109 109
1

Prime factors of 5668 are 2, 13,109. Prime factorization of 5668 in exponential form is:

5668 = 22×131×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5664 and 5668.

LCM(5664,5668) = 25×31×131×591×1091
LCM(5664,5668) = 8025888

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

Factors of 5668

List of positive integer factors of 5668 that divides 5668 without a remainder.

1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668

Least Common Multiple of 5664 and 5668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5664 and 5668, than apply into the LCM equation.

GCF(5664,5668) = 4
LCM(5664,5668) = ( 5664 × 5668) / 4
LCM(5664,5668) = 32103552 / 4
LCM(5664,5668) = 8025888

Properties of LCM 5664 and 5668

(i) The LCM of 5668 and 5664 is associative

LCM of 5664 and 5668 = LCM of 5668 and 5664

Related Least Common Multiples of 5664

Related Least Common Multiples of 5668

Frequently Asked Questions on LCM of 5664 and 5668

1. What is the LCM of 5664 and 5668?

Answer: LCM of 5664 and 5668 is 8025888.

2. 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.

3. What are the Factors of 5668?

Answer: Factors of 5668 are 1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668. There are 12 integers that are factors of 5668. The greatest factor of 5668 is 5668.

4. How to Find the LCM of 5664 and 5668?

Answer:

Least Common Multiple of 5664 and 5668 = 8025888

Step 1: Find the prime factorization of 5664

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

Step 2: Find the prime factorization of 5668

5668 = 2 x 2 x 13 x 109

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

LCM = 8025888 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 59 x 109

Step 4: Therefore, the least common multiple of 5664 and 5668 is 8025888.