Least Common Multiple of 624 and 625

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 625 the smallest integer that is 390000 that is divisible by both numbers.

Least Common Multiple (LCM) of 624 and 625 is 390000.

LCM(624,625) = 390000

LCM of 624 and 625

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

LCM of:
and

Least Common Multiple of 624 and 625

LCM of 624 and 625 is 390000

Least common multiple can be found by multiplying the highest exponent prime factors of 624 and 625. First we will calculate the prime factors of 624 and 625.

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 625


5 625
5 125
5 25
5 5
1

Prime factors of 625 are 5. Prime factorization of 625 in exponential form is:

625 = 54

Now multiplying the highest exponent prime factors to calculate the LCM of 624 and 625.

LCM(624,625) = 24×31×54×131
LCM(624,625) = 390000

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 625

List of positive integer factors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Least Common Multiple of 624 and 625 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 625, than apply into the LCM equation.

GCF(624,625) = 1
LCM(624,625) = ( 624 × 625) / 1
LCM(624,625) = 390000 / 1
LCM(624,625) = 390000

Properties of LCM 624 and 625

(i) The LCM of 625 and 624 is associative

LCM of 624 and 625 = LCM of 625 and 624

Related Least Common Multiples of 624

Related Least Common Multiples of 625

Frequently Asked Questions on LCM of 624 and 625

1. What is the LCM of 624 and 625?

Answer: LCM of 624 and 625 is 390000.

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 625?

Answer: Factors of 625 are 1, 5, 25, 125, 625. There are 5 integers that are factors of 625. The greatest factor of 625 is 625.

4. How to Find the LCM of 624 and 625?

Answer:

Least Common Multiple of 624 and 625 = 390000

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 625

625 = 5 x 5 x 5 x 5

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

LCM = 390000 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 13

Step 4: Therefore, the least common multiple of 624 and 625 is 390000.