Least Common Multiple of 619 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 619 and 625 the smallest integer that is 386875 that is divisible by both numbers.

Least Common Multiple (LCM) of 619 and 625 is 386875.

LCM(619,625) = 386875

LCM of 619 and 625

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

LCM of:
and

Least Common Multiple of 619 and 625

LCM of 619 and 625 is 386875

Least common multiple can be found by multiplying the highest exponent prime factors of 619 and 625. First we will calculate the prime factors of 619 and 625.

Prime Factorization of 619


619 619
1

Prime factors of 619 are 619. Prime factorization of 619 in exponential form is:

619 = 6191

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 619 and 625.

LCM(619,625) = 54×6191
LCM(619,625) = 386875

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1, 619

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 619 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 619 and 625, than apply into the LCM equation.

GCF(619,625) = 1
LCM(619,625) = ( 619 × 625) / 1
LCM(619,625) = 386875 / 1
LCM(619,625) = 386875

Properties of LCM 619 and 625

(i) The LCM of 625 and 619 is associative

LCM of 619 and 625 = LCM of 625 and 619

Related Least Common Multiples of 619

Related Least Common Multiples of 625

Frequently Asked Questions on LCM of 619 and 625

1. What is the LCM of 619 and 625?

Answer: LCM of 619 and 625 is 386875.

2. What are the Factors of 619?

Answer: Factors of 619 are 1, 619. There are 2 integers that are factors of 619. The greatest factor of 619 is 619.

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 619 and 625?

Answer:

Least Common Multiple of 619 and 625 = 386875

Step 1: Find the prime factorization of 619

619 = 619

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 = 386875 = 5 x 5 x 5 x 5 x 619

Step 4: Therefore, the least common multiple of 619 and 625 is 386875.