Least Common Multiple of 5664 and 5672

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 5672 the smallest integer that is 4015776 that is divisible by both numbers.

Least Common Multiple (LCM) of 5664 and 5672 is 4015776.

LCM(5664,5672) = 4015776

LCM of 5664 and 5672

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

LCM of:
and

Least Common Multiple of 5664 and 5672

LCM of 5664 and 5672 is 4015776

Least common multiple can be found by multiplying the highest exponent prime factors of 5664 and 5672. First we will calculate the prime factors of 5664 and 5672.

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 5672


2 5672
2 2836
2 1418
709 709
1

Prime factors of 5672 are 2,709. Prime factorization of 5672 in exponential form is:

5672 = 23×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 5664 and 5672.

LCM(5664,5672) = 25×31×591×7091
LCM(5664,5672) = 4015776

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 5672

List of positive integer factors of 5672 that divides 5672 without a remainder.

1, 2, 4, 8, 709, 1418, 2836, 5672

Least Common Multiple of 5664 and 5672 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 5672, than apply into the LCM equation.

GCF(5664,5672) = 8
LCM(5664,5672) = ( 5664 × 5672) / 8
LCM(5664,5672) = 32126208 / 8
LCM(5664,5672) = 4015776

Properties of LCM 5664 and 5672

(i) The LCM of 5672 and 5664 is associative

LCM of 5664 and 5672 = LCM of 5672 and 5664

Related Least Common Multiples of 5664

Related Least Common Multiples of 5672

Frequently Asked Questions on LCM of 5664 and 5672

1. What is the LCM of 5664 and 5672?

Answer: LCM of 5664 and 5672 is 4015776.

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 5672?

Answer: Factors of 5672 are 1, 2, 4, 8, 709, 1418, 2836, 5672. There are 8 integers that are factors of 5672. The greatest factor of 5672 is 5672.

4. How to Find the LCM of 5664 and 5672?

Answer:

Least Common Multiple of 5664 and 5672 = 4015776

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 5672

5672 = 2 x 2 x 2 x 709

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

LCM = 4015776 = 2 x 2 x 2 x 2 x 2 x 3 x 59 x 709

Step 4: Therefore, the least common multiple of 5664 and 5672 is 4015776.