Least Common Multiple of 4619 and 4625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4619 and 4625 the smallest integer that is 21362875 that is divisible by both numbers.

Least Common Multiple (LCM) of 4619 and 4625 is 21362875.

LCM(4619,4625) = 21362875

LCM of 4619 and 4625

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

LCM of:
and

Least Common Multiple of 4619 and 4625

LCM of 4619 and 4625 is 21362875

Least common multiple can be found by multiplying the highest exponent prime factors of 4619 and 4625. First we will calculate the prime factors of 4619 and 4625.

Prime Factorization of 4619


31 4619
149 149
1

Prime factors of 4619 are 31,149. Prime factorization of 4619 in exponential form is:

4619 = 311×1491

Prime Factorization of 4625


5 4625
5 925
5 185
37 37
1

Prime factors of 4625 are 5,37. Prime factorization of 4625 in exponential form is:

4625 = 53×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4619 and 4625.

LCM(4619,4625) = 53×311×371×1491
LCM(4619,4625) = 21362875

Factors of 4619

List of positive integer factors of 4619 that divides 4619 without a remainder.

1, 31, 149, 4619

Factors of 4625

List of positive integer factors of 4625 that divides 4625 without a remainder.

1, 5, 25, 37, 125, 185, 925, 4625

Least Common Multiple of 4619 and 4625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4619 and 4625, than apply into the LCM equation.

GCF(4619,4625) = 1
LCM(4619,4625) = ( 4619 × 4625) / 1
LCM(4619,4625) = 21362875 / 1
LCM(4619,4625) = 21362875

Properties of LCM 4619 and 4625

(i) The LCM of 4625 and 4619 is associative

LCM of 4619 and 4625 = LCM of 4625 and 4619

Related Least Common Multiples of 4619

Related Least Common Multiples of 4625

Frequently Asked Questions on LCM of 4619 and 4625

1. What is the LCM of 4619 and 4625?

Answer: LCM of 4619 and 4625 is 21362875.

2. What are the Factors of 4619?

Answer: Factors of 4619 are 1, 31, 149, 4619. There are 4 integers that are factors of 4619. The greatest factor of 4619 is 4619.

3. What are the Factors of 4625?

Answer: Factors of 4625 are 1, 5, 25, 37, 125, 185, 925, 4625. There are 8 integers that are factors of 4625. The greatest factor of 4625 is 4625.

4. How to Find the LCM of 4619 and 4625?

Answer:

Least Common Multiple of 4619 and 4625 = 21362875

Step 1: Find the prime factorization of 4619

4619 = 31 x 149

Step 2: Find the prime factorization of 4625

4625 = 5 x 5 x 5 x 37

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

LCM = 21362875 = 5 x 5 x 5 x 31 x 37 x 149

Step 4: Therefore, the least common multiple of 4619 and 4625 is 21362875.