Least Common Multiple of 622 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 622 and 625 the smallest integer that is 388750 that is divisible by both numbers.

Least Common Multiple (LCM) of 622 and 625 is 388750.

LCM(622,625) = 388750

LCM of 622 and 625

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

LCM of:
and

Least Common Multiple of 622 and 625

LCM of 622 and 625 is 388750

Least common multiple can be found by multiplying the highest exponent prime factors of 622 and 625. First we will calculate the prime factors of 622 and 625.

Prime Factorization of 622


2 622
311 311
1

Prime factors of 622 are 2,311. Prime factorization of 622 in exponential form is:

622 = 21×3111

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 622 and 625.

LCM(622,625) = 21×54×3111
LCM(622,625) = 388750

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1, 2, 311, 622

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 622 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 622 and 625, than apply into the LCM equation.

GCF(622,625) = 1
LCM(622,625) = ( 622 × 625) / 1
LCM(622,625) = 388750 / 1
LCM(622,625) = 388750

Properties of LCM 622 and 625

(i) The LCM of 625 and 622 is associative

LCM of 622 and 625 = LCM of 625 and 622

Related Least Common Multiples of 622

Related Least Common Multiples of 625

Frequently Asked Questions on LCM of 622 and 625

1. What is the LCM of 622 and 625?

Answer: LCM of 622 and 625 is 388750.

2. What are the Factors of 622?

Answer: Factors of 622 are 1, 2, 311, 622. There are 4 integers that are factors of 622. The greatest factor of 622 is 622.

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 622 and 625?

Answer:

Least Common Multiple of 622 and 625 = 388750

Step 1: Find the prime factorization of 622

622 = 2 x 311

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 = 388750 = 2 x 5 x 5 x 5 x 5 x 311

Step 4: Therefore, the least common multiple of 622 and 625 is 388750.