Least Common Multiple of 621 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 621 and 625 the smallest integer that is 388125 that is divisible by both numbers.

Least Common Multiple (LCM) of 621 and 625 is 388125.

LCM(621,625) = 388125

LCM of 621 and 625

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

LCM of:
and

Least Common Multiple of 621 and 625

LCM of 621 and 625 is 388125

Least common multiple can be found by multiplying the highest exponent prime factors of 621 and 625. First we will calculate the prime factors of 621 and 625.

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 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 621 and 625.

LCM(621,625) = 33×54×231
LCM(621,625) = 388125

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 625

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

1, 5, 25, 125, 625

Least Common Multiple of 621 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 621 and 625, than apply into the LCM equation.

GCF(621,625) = 1
LCM(621,625) = ( 621 × 625) / 1
LCM(621,625) = 388125 / 1
LCM(621,625) = 388125

Properties of LCM 621 and 625

(i) The LCM of 625 and 621 is associative

LCM of 621 and 625 = LCM of 625 and 621

Related Least Common Multiples of 621

Related Least Common Multiples of 625

Frequently Asked Questions on LCM of 621 and 625

1. What is the LCM of 621 and 625?

Answer: LCM of 621 and 625 is 388125.

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 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 621 and 625?

Answer:

Least Common Multiple of 621 and 625 = 388125

Step 1: Find the prime factorization of 621

621 = 3 x 3 x 3 x 23

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 = 388125 = 3 x 3 x 3 x 5 x 5 x 5 x 5 x 23

Step 4: Therefore, the least common multiple of 621 and 625 is 388125.