Least Common Multiple of 620 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 620 and 625 the smallest integer that is 77500 that is divisible by both numbers.

Least Common Multiple (LCM) of 620 and 625 is 77500.

LCM(620,625) = 77500

LCM of 620 and 625

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

LCM of:
and

Least Common Multiple of 620 and 625

LCM of 620 and 625 is 77500

Least common multiple can be found by multiplying the highest exponent prime factors of 620 and 625. First we will calculate the prime factors of 620 and 625.

Prime Factorization of 620


2 620
2 310
5 155
31 31
1

Prime factors of 620 are 2, 5,31. Prime factorization of 620 in exponential form is:

620 = 22×51×311

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 620 and 625.

LCM(620,625) = 22×54×311
LCM(620,625) = 77500

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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 620 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 620 and 625, than apply into the LCM equation.

GCF(620,625) = 5
LCM(620,625) = ( 620 × 625) / 5
LCM(620,625) = 387500 / 5
LCM(620,625) = 77500

Properties of LCM 620 and 625

(i) The LCM of 625 and 620 is associative

LCM of 620 and 625 = LCM of 625 and 620

Related Least Common Multiples of 620

Related Least Common Multiples of 625

Frequently Asked Questions on LCM of 620 and 625

1. What is the LCM of 620 and 625?

Answer: LCM of 620 and 625 is 77500.

2. What are the Factors of 620?

Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.

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 620 and 625?

Answer:

Least Common Multiple of 620 and 625 = 77500

Step 1: Find the prime factorization of 620

620 = 2 x 2 x 5 x 31

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 = 77500 = 2 x 2 x 5 x 5 x 5 x 5 x 31

Step 4: Therefore, the least common multiple of 620 and 625 is 77500.