Least Common Multiple of 7624 and 7631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7624 and 7631 the smallest integer that is 58178744 that is divisible by both numbers.

Least Common Multiple (LCM) of 7624 and 7631 is 58178744.

LCM(7624,7631) = 58178744

LCM of 7624 and 7631

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

LCM of:
and

Least Common Multiple of 7624 and 7631

LCM of 7624 and 7631 is 58178744

Least common multiple can be found by multiplying the highest exponent prime factors of 7624 and 7631. First we will calculate the prime factors of 7624 and 7631.

Prime Factorization of 7624


2 7624
2 3812
2 1906
953 953
1

Prime factors of 7624 are 2,953. Prime factorization of 7624 in exponential form is:

7624 = 23×9531

Prime Factorization of 7631


13 7631
587 587
1

Prime factors of 7631 are 13,587. Prime factorization of 7631 in exponential form is:

7631 = 131×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 7624 and 7631.

LCM(7624,7631) = 23×131×5871×9531
LCM(7624,7631) = 58178744

Factors of 7624

List of positive integer factors of 7624 that divides 7624 without a remainder.

1, 2, 4, 8, 953, 1906, 3812, 7624

Factors of 7631

List of positive integer factors of 7631 that divides 7631 without a remainder.

1, 13, 587, 7631

Least Common Multiple of 7624 and 7631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7624 and 7631, than apply into the LCM equation.

GCF(7624,7631) = 1
LCM(7624,7631) = ( 7624 × 7631) / 1
LCM(7624,7631) = 58178744 / 1
LCM(7624,7631) = 58178744

Properties of LCM 7624 and 7631

(i) The LCM of 7631 and 7624 is associative

LCM of 7624 and 7631 = LCM of 7631 and 7624

Related Least Common Multiples of 7624

Related Least Common Multiples of 7631

Frequently Asked Questions on LCM of 7624 and 7631

1. What is the LCM of 7624 and 7631?

Answer: LCM of 7624 and 7631 is 58178744.

2. What are the Factors of 7624?

Answer: Factors of 7624 are 1, 2, 4, 8, 953, 1906, 3812, 7624. There are 8 integers that are factors of 7624. The greatest factor of 7624 is 7624.

3. What are the Factors of 7631?

Answer: Factors of 7631 are 1, 13, 587, 7631. There are 4 integers that are factors of 7631. The greatest factor of 7631 is 7631.

4. How to Find the LCM of 7624 and 7631?

Answer:

Least Common Multiple of 7624 and 7631 = 58178744

Step 1: Find the prime factorization of 7624

7624 = 2 x 2 x 2 x 953

Step 2: Find the prime factorization of 7631

7631 = 13 x 587

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

LCM = 58178744 = 2 x 2 x 2 x 13 x 587 x 953

Step 4: Therefore, the least common multiple of 7624 and 7631 is 58178744.