Least Common Multiple of 625 and 628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 625 and 628 the smallest integer that is 392500 that is divisible by both numbers.

Least Common Multiple (LCM) of 625 and 628 is 392500.

LCM(625,628) = 392500

LCM of 625 and 628

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

LCM of:
and

Least Common Multiple of 625 and 628

LCM of 625 and 628 is 392500

Least common multiple can be found by multiplying the highest exponent prime factors of 625 and 628. First we will calculate the prime factors of 625 and 628.

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

Prime Factorization of 628


2 628
2 314
157 157
1

Prime factors of 628 are 2,157. Prime factorization of 628 in exponential form is:

628 = 22×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 625 and 628.

LCM(625,628) = 22×54×1571
LCM(625,628) = 392500

Factors of 625

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

1, 5, 25, 125, 625

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Least Common Multiple of 625 and 628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 625 and 628, than apply into the LCM equation.

GCF(625,628) = 1
LCM(625,628) = ( 625 × 628) / 1
LCM(625,628) = 392500 / 1
LCM(625,628) = 392500

Properties of LCM 625 and 628

(i) The LCM of 628 and 625 is associative

LCM of 625 and 628 = LCM of 628 and 625

Related Least Common Multiples of 625

Related Least Common Multiples of 628

Frequently Asked Questions on LCM of 625 and 628

1. What is the LCM of 625 and 628?

Answer: LCM of 625 and 628 is 392500.

2. 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.

3. What are the Factors of 628?

Answer: Factors of 628 are 1, 2, 4, 157, 314, 628. There are 6 integers that are factors of 628. The greatest factor of 628 is 628.

4. How to Find the LCM of 625 and 628?

Answer:

Least Common Multiple of 625 and 628 = 392500

Step 1: Find the prime factorization of 625

625 = 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 628

628 = 2 x 2 x 157

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

LCM = 392500 = 2 x 2 x 5 x 5 x 5 x 5 x 157

Step 4: Therefore, the least common multiple of 625 and 628 is 392500.