Least Common Multiple of 2420 and 2425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2420 and 2425 the smallest integer that is 1173700 that is divisible by both numbers.

Least Common Multiple (LCM) of 2420 and 2425 is 1173700.

LCM(2420,2425) = 1173700

LCM of 2420 and 2425

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

LCM of:
and

Least Common Multiple of 2420 and 2425

LCM of 2420 and 2425 is 1173700

Least common multiple can be found by multiplying the highest exponent prime factors of 2420 and 2425. First we will calculate the prime factors of 2420 and 2425.

Prime Factorization of 2420


2 2420
2 1210
5 605
11 121
11 11
1

Prime factors of 2420 are 2, 5,11. Prime factorization of 2420 in exponential form is:

2420 = 22×51×112

Prime Factorization of 2425


5 2425
5 485
97 97
1

Prime factors of 2425 are 5,97. Prime factorization of 2425 in exponential form is:

2425 = 52×971

Now multiplying the highest exponent prime factors to calculate the LCM of 2420 and 2425.

LCM(2420,2425) = 22×52×112×971
LCM(2420,2425) = 1173700

Factors of 2420

List of positive integer factors of 2420 that divides 2420 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420

Factors of 2425

List of positive integer factors of 2425 that divides 2425 without a remainder.

1, 5, 25, 97, 485, 2425

Least Common Multiple of 2420 and 2425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2420 and 2425, than apply into the LCM equation.

GCF(2420,2425) = 5
LCM(2420,2425) = ( 2420 × 2425) / 5
LCM(2420,2425) = 5868500 / 5
LCM(2420,2425) = 1173700

Properties of LCM 2420 and 2425

(i) The LCM of 2425 and 2420 is associative

LCM of 2420 and 2425 = LCM of 2425 and 2420

Related Least Common Multiples of 2420

Related Least Common Multiples of 2425

Frequently Asked Questions on LCM of 2420 and 2425

1. What is the LCM of 2420 and 2425?

Answer: LCM of 2420 and 2425 is 1173700.

2. What are the Factors of 2420?

Answer: Factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420. There are 18 integers that are factors of 2420. The greatest factor of 2420 is 2420.

3. What are the Factors of 2425?

Answer: Factors of 2425 are 1, 5, 25, 97, 485, 2425. There are 6 integers that are factors of 2425. The greatest factor of 2425 is 2425.

4. How to Find the LCM of 2420 and 2425?

Answer:

Least Common Multiple of 2420 and 2425 = 1173700

Step 1: Find the prime factorization of 2420

2420 = 2 x 2 x 5 x 11 x 11

Step 2: Find the prime factorization of 2425

2425 = 5 x 5 x 97

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

LCM = 1173700 = 2 x 2 x 5 x 5 x 11 x 11 x 97

Step 4: Therefore, the least common multiple of 2420 and 2425 is 1173700.