Least Common Multiple of 623 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 623 and 625 the smallest integer that is 389375 that is divisible by both numbers.

Least Common Multiple (LCM) of 623 and 625 is 389375.

LCM(623,625) = 389375

LCM of 623 and 625

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

LCM of:
and

Least Common Multiple of 623 and 625

LCM of 623 and 625 is 389375

Least common multiple can be found by multiplying the highest exponent prime factors of 623 and 625. First we will calculate the prime factors of 623 and 625.

Prime Factorization of 623


7 623
89 89
1

Prime factors of 623 are 7,89. Prime factorization of 623 in exponential form is:

623 = 71×891

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 623 and 625.

LCM(623,625) = 54×71×891
LCM(623,625) = 389375

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1, 7, 89, 623

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 623 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 623 and 625, than apply into the LCM equation.

GCF(623,625) = 1
LCM(623,625) = ( 623 × 625) / 1
LCM(623,625) = 389375 / 1
LCM(623,625) = 389375

Properties of LCM 623 and 625

(i) The LCM of 625 and 623 is associative

LCM of 623 and 625 = LCM of 625 and 623

Related Least Common Multiples of 623

Related Least Common Multiples of 625

Frequently Asked Questions on LCM of 623 and 625

1. What is the LCM of 623 and 625?

Answer: LCM of 623 and 625 is 389375.

2. What are the Factors of 623?

Answer: Factors of 623 are 1, 7, 89, 623. There are 4 integers that are factors of 623. The greatest factor of 623 is 623.

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 623 and 625?

Answer:

Least Common Multiple of 623 and 625 = 389375

Step 1: Find the prime factorization of 623

623 = 7 x 89

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 = 389375 = 5 x 5 x 5 x 5 x 7 x 89

Step 4: Therefore, the least common multiple of 623 and 625 is 389375.