Least Common Multiple of 2538 and 2544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2538 and 2544 the smallest integer that is 1076112 that is divisible by both numbers.

Least Common Multiple (LCM) of 2538 and 2544 is 1076112.

LCM(2538,2544) = 1076112

LCM of 2538 and 2544

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

LCM of:
and

Least Common Multiple of 2538 and 2544

LCM of 2538 and 2544 is 1076112

Least common multiple can be found by multiplying the highest exponent prime factors of 2538 and 2544. First we will calculate the prime factors of 2538 and 2544.

Prime Factorization of 2538


2 2538
3 1269
3 423
3 141
47 47
1

Prime factors of 2538 are 2, 3,47. Prime factorization of 2538 in exponential form is:

2538 = 21×33×471

Prime Factorization of 2544


2 2544
2 1272
2 636
2 318
3 159
53 53
1

Prime factors of 2544 are 2, 3,53. Prime factorization of 2544 in exponential form is:

2544 = 24×31×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2538 and 2544.

LCM(2538,2544) = 24×33×471×531
LCM(2538,2544) = 1076112

Factors of 2538

List of positive integer factors of 2538 that divides 2538 without a remainder.

1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538

Factors of 2544

List of positive integer factors of 2544 that divides 2544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 53, 106, 159, 212, 318, 424, 636, 848, 1272, 2544

Least Common Multiple of 2538 and 2544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2538 and 2544, than apply into the LCM equation.

GCF(2538,2544) = 6
LCM(2538,2544) = ( 2538 × 2544) / 6
LCM(2538,2544) = 6456672 / 6
LCM(2538,2544) = 1076112

Properties of LCM 2538 and 2544

(i) The LCM of 2544 and 2538 is associative

LCM of 2538 and 2544 = LCM of 2544 and 2538

Related Least Common Multiples of 2538

Related Least Common Multiples of 2544

Frequently Asked Questions on LCM of 2538 and 2544

1. What is the LCM of 2538 and 2544?

Answer: LCM of 2538 and 2544 is 1076112.

2. What are the Factors of 2538?

Answer: Factors of 2538 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538. There are 16 integers that are factors of 2538. The greatest factor of 2538 is 2538.

3. What are the Factors of 2544?

Answer: Factors of 2544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 53, 106, 159, 212, 318, 424, 636, 848, 1272, 2544. There are 20 integers that are factors of 2544. The greatest factor of 2544 is 2544.

4. How to Find the LCM of 2538 and 2544?

Answer:

Least Common Multiple of 2538 and 2544 = 1076112

Step 1: Find the prime factorization of 2538

2538 = 2 x 3 x 3 x 3 x 47

Step 2: Find the prime factorization of 2544

2544 = 2 x 2 x 2 x 2 x 3 x 53

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

LCM = 1076112 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 47 x 53

Step 4: Therefore, the least common multiple of 2538 and 2544 is 1076112.