Least Common Multiple of 2478 and 2484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2478 and 2484 the smallest integer that is 1025892 that is divisible by both numbers.

Least Common Multiple (LCM) of 2478 and 2484 is 1025892.

LCM(2478,2484) = 1025892

LCM of 2478 and 2484

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

LCM of:
and

Least Common Multiple of 2478 and 2484

LCM of 2478 and 2484 is 1025892

Least common multiple can be found by multiplying the highest exponent prime factors of 2478 and 2484. First we will calculate the prime factors of 2478 and 2484.

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

Prime Factorization of 2484


2 2484
2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 2484 are 2, 3,23. Prime factorization of 2484 in exponential form is:

2484 = 22×33×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2478 and 2484.

LCM(2478,2484) = 22×33×71×231×591
LCM(2478,2484) = 1025892

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

Factors of 2484

List of positive integer factors of 2484 that divides 2484 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108, 138, 207, 276, 414, 621, 828, 1242, 2484

Least Common Multiple of 2478 and 2484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2478 and 2484, than apply into the LCM equation.

GCF(2478,2484) = 6
LCM(2478,2484) = ( 2478 × 2484) / 6
LCM(2478,2484) = 6155352 / 6
LCM(2478,2484) = 1025892

Properties of LCM 2478 and 2484

(i) The LCM of 2484 and 2478 is associative

LCM of 2478 and 2484 = LCM of 2484 and 2478

Related Least Common Multiples of 2478

Related Least Common Multiples of 2484

Frequently Asked Questions on LCM of 2478 and 2484

1. What is the LCM of 2478 and 2484?

Answer: LCM of 2478 and 2484 is 1025892.

2. 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.

3. What are the Factors of 2484?

Answer: Factors of 2484 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108, 138, 207, 276, 414, 621, 828, 1242, 2484. There are 24 integers that are factors of 2484. The greatest factor of 2484 is 2484.

4. How to Find the LCM of 2478 and 2484?

Answer:

Least Common Multiple of 2478 and 2484 = 1025892

Step 1: Find the prime factorization of 2478

2478 = 2 x 3 x 7 x 59

Step 2: Find the prime factorization of 2484

2484 = 2 x 2 x 3 x 3 x 3 x 23

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

LCM = 1025892 = 2 x 2 x 3 x 3 x 3 x 7 x 23 x 59

Step 4: Therefore, the least common multiple of 2478 and 2484 is 1025892.