Least Common Multiple of 2470 and 2478

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 2478 the smallest integer that is 3060330 that is divisible by both numbers.

Least Common Multiple (LCM) of 2470 and 2478 is 3060330.

LCM(2470,2478) = 3060330

LCM of 2470 and 2478

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

LCM of:
and

Least Common Multiple of 2470 and 2478

LCM of 2470 and 2478 is 3060330

Least common multiple can be found by multiplying the highest exponent prime factors of 2470 and 2478. First we will calculate the prime factors of 2470 and 2478.

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 2478


2 2478
3 1239
7 413
59 59
1

Prime factors of 2478 are 2, 3, 7,59. Prime factorization of 2478 in exponential form is:

2478 = 21×31×71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2470 and 2478.

LCM(2470,2478) = 21×31×51×71×131×191×591
LCM(2470,2478) = 3060330

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 2478

List of positive integer factors of 2478 that divides 2478 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478

Least Common Multiple of 2470 and 2478 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 2478, than apply into the LCM equation.

GCF(2470,2478) = 2
LCM(2470,2478) = ( 2470 × 2478) / 2
LCM(2470,2478) = 6120660 / 2
LCM(2470,2478) = 3060330

Properties of LCM 2470 and 2478

(i) The LCM of 2478 and 2470 is associative

LCM of 2470 and 2478 = LCM of 2478 and 2470

Related Least Common Multiples of 2470

Related Least Common Multiples of 2478

Frequently Asked Questions on LCM of 2470 and 2478

1. What is the LCM of 2470 and 2478?

Answer: LCM of 2470 and 2478 is 3060330.

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 2478?

Answer: Factors of 2478 are 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478. There are 16 integers that are factors of 2478. The greatest factor of 2478 is 2478.

4. How to Find the LCM of 2470 and 2478?

Answer:

Least Common Multiple of 2470 and 2478 = 3060330

Step 1: Find the prime factorization of 2470

2470 = 2 x 5 x 13 x 19

Step 2: Find the prime factorization of 2478

2478 = 2 x 3 x 7 x 59

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

LCM = 3060330 = 2 x 3 x 5 x 7 x 13 x 19 x 59

Step 4: Therefore, the least common multiple of 2470 and 2478 is 3060330.