Least Common Multiple of 5664 and 5671

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 5671 the smallest integer that is 32120544 that is divisible by both numbers.

Least Common Multiple (LCM) of 5664 and 5671 is 32120544.

LCM(5664,5671) = 32120544

LCM of 5664 and 5671

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

LCM of:
and

Least Common Multiple of 5664 and 5671

LCM of 5664 and 5671 is 32120544

Least common multiple can be found by multiplying the highest exponent prime factors of 5664 and 5671. First we will calculate the prime factors of 5664 and 5671.

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 5671


53 5671
107 107
1

Prime factors of 5671 are 53,107. Prime factorization of 5671 in exponential form is:

5671 = 531×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 5664 and 5671.

LCM(5664,5671) = 25×31×531×591×1071
LCM(5664,5671) = 32120544

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 5671

List of positive integer factors of 5671 that divides 5671 without a remainder.

1, 53, 107, 5671

Least Common Multiple of 5664 and 5671 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 5671, than apply into the LCM equation.

GCF(5664,5671) = 1
LCM(5664,5671) = ( 5664 × 5671) / 1
LCM(5664,5671) = 32120544 / 1
LCM(5664,5671) = 32120544

Properties of LCM 5664 and 5671

(i) The LCM of 5671 and 5664 is associative

LCM of 5664 and 5671 = LCM of 5671 and 5664

Related Least Common Multiples of 5664

Related Least Common Multiples of 5671

Frequently Asked Questions on LCM of 5664 and 5671

1. What is the LCM of 5664 and 5671?

Answer: LCM of 5664 and 5671 is 32120544.

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 5671?

Answer: Factors of 5671 are 1, 53, 107, 5671. There are 4 integers that are factors of 5671. The greatest factor of 5671 is 5671.

4. How to Find the LCM of 5664 and 5671?

Answer:

Least Common Multiple of 5664 and 5671 = 32120544

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 5671

5671 = 53 x 107

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

LCM = 32120544 = 2 x 2 x 2 x 2 x 2 x 3 x 53 x 59 x 107

Step 4: Therefore, the least common multiple of 5664 and 5671 is 32120544.