Least Common Multiple of 2476 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 2476 and 2478 the smallest integer that is 3067764 that is divisible by both numbers.

Least Common Multiple (LCM) of 2476 and 2478 is 3067764.

LCM(2476,2478) = 3067764

LCM of 2476 and 2478

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

LCM of:
and

Least Common Multiple of 2476 and 2478

LCM of 2476 and 2478 is 3067764

Least common multiple can be found by multiplying the highest exponent prime factors of 2476 and 2478. First we will calculate the prime factors of 2476 and 2478.

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

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 2476 and 2478.

LCM(2476,2478) = 22×31×71×591×6191
LCM(2476,2478) = 3067764

Factors of 2476

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

1, 2, 4, 619, 1238, 2476

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 2476 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 2476 and 2478, than apply into the LCM equation.

GCF(2476,2478) = 2
LCM(2476,2478) = ( 2476 × 2478) / 2
LCM(2476,2478) = 6135528 / 2
LCM(2476,2478) = 3067764

Properties of LCM 2476 and 2478

(i) The LCM of 2478 and 2476 is associative

LCM of 2476 and 2478 = LCM of 2478 and 2476

Related Least Common Multiples of 2476

Related Least Common Multiples of 2478

Frequently Asked Questions on LCM of 2476 and 2478

1. What is the LCM of 2476 and 2478?

Answer: LCM of 2476 and 2478 is 3067764.

2. 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.

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 2476 and 2478?

Answer:

Least Common Multiple of 2476 and 2478 = 3067764

Step 1: Find the prime factorization of 2476

2476 = 2 x 2 x 619

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 = 3067764 = 2 x 2 x 3 x 7 x 59 x 619

Step 4: Therefore, the least common multiple of 2476 and 2478 is 3067764.