Least Common Multiple of 2540 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 2540 and 2544 the smallest integer that is 1615440 that is divisible by both numbers.

Least Common Multiple (LCM) of 2540 and 2544 is 1615440.

LCM(2540,2544) = 1615440

LCM of 2540 and 2544

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

LCM of:
and

Least Common Multiple of 2540 and 2544

LCM of 2540 and 2544 is 1615440

Least common multiple can be found by multiplying the highest exponent prime factors of 2540 and 2544. First we will calculate the prime factors of 2540 and 2544.

Prime Factorization of 2540


2 2540
2 1270
5 635
127 127
1

Prime factors of 2540 are 2, 5,127. Prime factorization of 2540 in exponential form is:

2540 = 22×51×1271

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 2540 and 2544.

LCM(2540,2544) = 24×31×51×531×1271
LCM(2540,2544) = 1615440

Factors of 2540

List of positive integer factors of 2540 that divides 2540 without a remainder.

1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540

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 2540 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 2540 and 2544, than apply into the LCM equation.

GCF(2540,2544) = 4
LCM(2540,2544) = ( 2540 × 2544) / 4
LCM(2540,2544) = 6461760 / 4
LCM(2540,2544) = 1615440

Properties of LCM 2540 and 2544

(i) The LCM of 2544 and 2540 is associative

LCM of 2540 and 2544 = LCM of 2544 and 2540

Related Least Common Multiples of 2540

Related Least Common Multiples of 2544

Frequently Asked Questions on LCM of 2540 and 2544

1. What is the LCM of 2540 and 2544?

Answer: LCM of 2540 and 2544 is 1615440.

2. What are the Factors of 2540?

Answer: Factors of 2540 are 1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540. There are 12 integers that are factors of 2540. The greatest factor of 2540 is 2540.

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 2540 and 2544?

Answer:

Least Common Multiple of 2540 and 2544 = 1615440

Step 1: Find the prime factorization of 2540

2540 = 2 x 2 x 5 x 127

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 = 1615440 = 2 x 2 x 2 x 2 x 3 x 5 x 53 x 127

Step 4: Therefore, the least common multiple of 2540 and 2544 is 1615440.