Least Common Multiple of 624 and 628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 624 and 628 the smallest integer that is 97968 that is divisible by both numbers.

Least Common Multiple (LCM) of 624 and 628 is 97968.

LCM(624,628) = 97968

LCM of 624 and 628

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

LCM of:
and

Least Common Multiple of 624 and 628

LCM of 624 and 628 is 97968

Least common multiple can be found by multiplying the highest exponent prime factors of 624 and 628. First we will calculate the prime factors of 624 and 628.

Prime Factorization of 624


2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 624 are 2, 3,13. Prime factorization of 624 in exponential form is:

624 = 24×31×131

Prime Factorization of 628


2 628
2 314
157 157
1

Prime factors of 628 are 2,157. Prime factorization of 628 in exponential form is:

628 = 22×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 624 and 628.

LCM(624,628) = 24×31×131×1571
LCM(624,628) = 97968

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Least Common Multiple of 624 and 628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 624 and 628, than apply into the LCM equation.

GCF(624,628) = 4
LCM(624,628) = ( 624 × 628) / 4
LCM(624,628) = 391872 / 4
LCM(624,628) = 97968

Properties of LCM 624 and 628

(i) The LCM of 628 and 624 is associative

LCM of 624 and 628 = LCM of 628 and 624

Related Least Common Multiples of 624

Related Least Common Multiples of 628

Frequently Asked Questions on LCM of 624 and 628

1. What is the LCM of 624 and 628?

Answer: LCM of 624 and 628 is 97968.

2. What are the Factors of 624?

Answer: Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624. There are 20 integers that are factors of 624. The greatest factor of 624 is 624.

3. What are the Factors of 628?

Answer: Factors of 628 are 1, 2, 4, 157, 314, 628. There are 6 integers that are factors of 628. The greatest factor of 628 is 628.

4. How to Find the LCM of 624 and 628?

Answer:

Least Common Multiple of 624 and 628 = 97968

Step 1: Find the prime factorization of 624

624 = 2 x 2 x 2 x 2 x 3 x 13

Step 2: Find the prime factorization of 628

628 = 2 x 2 x 157

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

LCM = 97968 = 2 x 2 x 2 x 2 x 3 x 13 x 157

Step 4: Therefore, the least common multiple of 624 and 628 is 97968.