Least Common Multiple of 624 and 630

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 630 the smallest integer that is 65520 that is divisible by both numbers.

Least Common Multiple (LCM) of 624 and 630 is 65520.

LCM(624,630) = 65520

LCM of 624 and 630

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

LCM of:
and

Least Common Multiple of 624 and 630

LCM of 624 and 630 is 65520

Least common multiple can be found by multiplying the highest exponent prime factors of 624 and 630. First we will calculate the prime factors of 624 and 630.

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 630


2 630
3 315
3 105
5 35
7 7
1

Prime factors of 630 are 2, 3, 5,7. Prime factorization of 630 in exponential form is:

630 = 21×32×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 624 and 630.

LCM(624,630) = 24×32×51×71×131
LCM(624,630) = 65520

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 630

List of positive integer factors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Least Common Multiple of 624 and 630 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 630, than apply into the LCM equation.

GCF(624,630) = 6
LCM(624,630) = ( 624 × 630) / 6
LCM(624,630) = 393120 / 6
LCM(624,630) = 65520

Properties of LCM 624 and 630

(i) The LCM of 630 and 624 is associative

LCM of 624 and 630 = LCM of 630 and 624

Related Least Common Multiples of 624

Related Least Common Multiples of 630

Frequently Asked Questions on LCM of 624 and 630

1. What is the LCM of 624 and 630?

Answer: LCM of 624 and 630 is 65520.

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 630?

Answer: Factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630. There are 24 integers that are factors of 630. The greatest factor of 630 is 630.

4. How to Find the LCM of 624 and 630?

Answer:

Least Common Multiple of 624 and 630 = 65520

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 630

630 = 2 x 3 x 3 x 5 x 7

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

LCM = 65520 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 624 and 630 is 65520.