Least Common Multiple of 2470 and 2476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2470 and 2476 the smallest integer that is 3057860 that is divisible by both numbers.

Least Common Multiple (LCM) of 2470 and 2476 is 3057860.

LCM(2470,2476) = 3057860

LCM of 2470 and 2476

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

LCM of:
and

Least Common Multiple of 2470 and 2476

LCM of 2470 and 2476 is 3057860

Least common multiple can be found by multiplying the highest exponent prime factors of 2470 and 2476. First we will calculate the prime factors of 2470 and 2476.

Prime Factorization of 2470


2 2470
5 1235
13 247
19 19
1

Prime factors of 2470 are 2, 5, 13,19. Prime factorization of 2470 in exponential form is:

2470 = 21×51×131×191

Prime Factorization of 2476


2 2476
2 1238
619 619
1

Prime factors of 2476 are 2,619. Prime factorization of 2476 in exponential form is:

2476 = 22×6191

Now multiplying the highest exponent prime factors to calculate the LCM of 2470 and 2476.

LCM(2470,2476) = 22×51×131×191×6191
LCM(2470,2476) = 3057860

Factors of 2470

List of positive integer factors of 2470 that divides 2470 without a remainder.

1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470

Factors of 2476

List of positive integer factors of 2476 that divides 2476 without a remainder.

1, 2, 4, 619, 1238, 2476

Least Common Multiple of 2470 and 2476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2470 and 2476, than apply into the LCM equation.

GCF(2470,2476) = 2
LCM(2470,2476) = ( 2470 × 2476) / 2
LCM(2470,2476) = 6115720 / 2
LCM(2470,2476) = 3057860

Properties of LCM 2470 and 2476

(i) The LCM of 2476 and 2470 is associative

LCM of 2470 and 2476 = LCM of 2476 and 2470

Related Least Common Multiples of 2470

Related Least Common Multiples of 2476

Frequently Asked Questions on LCM of 2470 and 2476

1. What is the LCM of 2470 and 2476?

Answer: LCM of 2470 and 2476 is 3057860.

2. What are the Factors of 2470?

Answer: Factors of 2470 are 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470. There are 16 integers that are factors of 2470. The greatest factor of 2470 is 2470.

3. What are the Factors of 2476?

Answer: Factors of 2476 are 1, 2, 4, 619, 1238, 2476. There are 6 integers that are factors of 2476. The greatest factor of 2476 is 2476.

4. How to Find the LCM of 2470 and 2476?

Answer:

Least Common Multiple of 2470 and 2476 = 3057860

Step 1: Find the prime factorization of 2470

2470 = 2 x 5 x 13 x 19

Step 2: Find the prime factorization of 2476

2476 = 2 x 2 x 619

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

LCM = 3057860 = 2 x 2 x 5 x 13 x 19 x 619

Step 4: Therefore, the least common multiple of 2470 and 2476 is 3057860.