Least Common Multiple of 5624 and 5631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5624 and 5631 the smallest integer that is 31668744 that is divisible by both numbers.

Least Common Multiple (LCM) of 5624 and 5631 is 31668744.

LCM(5624,5631) = 31668744

LCM of 5624 and 5631

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

LCM of:
and

Least Common Multiple of 5624 and 5631

LCM of 5624 and 5631 is 31668744

Least common multiple can be found by multiplying the highest exponent prime factors of 5624 and 5631. First we will calculate the prime factors of 5624 and 5631.

Prime Factorization of 5624


2 5624
2 2812
2 1406
19 703
37 37
1

Prime factors of 5624 are 2, 19,37. Prime factorization of 5624 in exponential form is:

5624 = 23×191×371

Prime Factorization of 5631


3 5631
1877 1877
1

Prime factors of 5631 are 3,1877. Prime factorization of 5631 in exponential form is:

5631 = 31×18771

Now multiplying the highest exponent prime factors to calculate the LCM of 5624 and 5631.

LCM(5624,5631) = 23×31×191×371×18771
LCM(5624,5631) = 31668744

Factors of 5624

List of positive integer factors of 5624 that divides 5624 without a remainder.

1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624

Factors of 5631

List of positive integer factors of 5631 that divides 5631 without a remainder.

1, 3, 1877, 5631

Least Common Multiple of 5624 and 5631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5624 and 5631, than apply into the LCM equation.

GCF(5624,5631) = 1
LCM(5624,5631) = ( 5624 × 5631) / 1
LCM(5624,5631) = 31668744 / 1
LCM(5624,5631) = 31668744

Properties of LCM 5624 and 5631

(i) The LCM of 5631 and 5624 is associative

LCM of 5624 and 5631 = LCM of 5631 and 5624

Related Least Common Multiples of 5624

Related Least Common Multiples of 5631

Frequently Asked Questions on LCM of 5624 and 5631

1. What is the LCM of 5624 and 5631?

Answer: LCM of 5624 and 5631 is 31668744.

2. What are the Factors of 5624?

Answer: Factors of 5624 are 1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624. There are 16 integers that are factors of 5624. The greatest factor of 5624 is 5624.

3. What are the Factors of 5631?

Answer: Factors of 5631 are 1, 3, 1877, 5631. There are 4 integers that are factors of 5631. The greatest factor of 5631 is 5631.

4. How to Find the LCM of 5624 and 5631?

Answer:

Least Common Multiple of 5624 and 5631 = 31668744

Step 1: Find the prime factorization of 5624

5624 = 2 x 2 x 2 x 19 x 37

Step 2: Find the prime factorization of 5631

5631 = 3 x 1877

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

LCM = 31668744 = 2 x 2 x 2 x 3 x 19 x 37 x 1877

Step 4: Therefore, the least common multiple of 5624 and 5631 is 31668744.