Least Common Multiple of 621 and 624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 621 and 624 the smallest integer that is 129168 that is divisible by both numbers.

Least Common Multiple (LCM) of 621 and 624 is 129168.

LCM(621,624) = 129168

LCM of 621 and 624

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

LCM of:
and

Least Common Multiple of 621 and 624

LCM of 621 and 624 is 129168

Least common multiple can be found by multiplying the highest exponent prime factors of 621 and 624. First we will calculate the prime factors of 621 and 624.

Prime Factorization of 621


3 621
3 207
3 69
23 23
1

Prime factors of 621 are 3,23. Prime factorization of 621 in exponential form is:

621 = 33×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 621 and 624.

LCM(621,624) = 24×33×131×231
LCM(621,624) = 129168

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

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

Least Common Multiple of 621 and 624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 621 and 624, than apply into the LCM equation.

GCF(621,624) = 3
LCM(621,624) = ( 621 × 624) / 3
LCM(621,624) = 387504 / 3
LCM(621,624) = 129168

Properties of LCM 621 and 624

(i) The LCM of 624 and 621 is associative

LCM of 621 and 624 = LCM of 624 and 621

Related Least Common Multiples of 621

Related Least Common Multiples of 624

Frequently Asked Questions on LCM of 621 and 624

1. What is the LCM of 621 and 624?

Answer: LCM of 621 and 624 is 129168.

2. What are the Factors of 621?

Answer: Factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621. There are 8 integers that are factors of 621. The greatest factor of 621 is 621.

3. 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.

4. How to Find the LCM of 621 and 624?

Answer:

Least Common Multiple of 621 and 624 = 129168

Step 1: Find the prime factorization of 621

621 = 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 624

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

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

LCM = 129168 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 23

Step 4: Therefore, the least common multiple of 621 and 624 is 129168.