Least Common Multiple of 624 and 627

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 627 the smallest integer that is 130416 that is divisible by both numbers.

Least Common Multiple (LCM) of 624 and 627 is 130416.

LCM(624,627) = 130416

LCM of 624 and 627

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

LCM of:
and

Least Common Multiple of 624 and 627

LCM of 624 and 627 is 130416

Least common multiple can be found by multiplying the highest exponent prime factors of 624 and 627. First we will calculate the prime factors of 624 and 627.

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 627


3 627
11 209
19 19
1

Prime factors of 627 are 3, 11,19. Prime factorization of 627 in exponential form is:

627 = 31×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 624 and 627.

LCM(624,627) = 24×31×111×131×191
LCM(624,627) = 130416

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 627

List of positive integer factors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Least Common Multiple of 624 and 627 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 627, than apply into the LCM equation.

GCF(624,627) = 3
LCM(624,627) = ( 624 × 627) / 3
LCM(624,627) = 391248 / 3
LCM(624,627) = 130416

Properties of LCM 624 and 627

(i) The LCM of 627 and 624 is associative

LCM of 624 and 627 = LCM of 627 and 624

Related Least Common Multiples of 624

Related Least Common Multiples of 627

Frequently Asked Questions on LCM of 624 and 627

1. What is the LCM of 624 and 627?

Answer: LCM of 624 and 627 is 130416.

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 627?

Answer: Factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627. There are 8 integers that are factors of 627. The greatest factor of 627 is 627.

4. How to Find the LCM of 624 and 627?

Answer:

Least Common Multiple of 624 and 627 = 130416

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 627

627 = 3 x 11 x 19

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

LCM = 130416 = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 19

Step 4: Therefore, the least common multiple of 624 and 627 is 130416.