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What is the Least Common Multiple of 2535 and 2544?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 2535 and 2544 is 2149680.

LCM(2535,2544) = 2149680

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Least Common Multiple of 2535 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 2535 and 2544, than apply into the LCM equation.

GCF(2535,2544) = 3
LCM(2535,2544) = ( 2535 × 2544) / 3
LCM(2535,2544) = 6449040 / 3
LCM(2535,2544) = 2149680

Least Common Multiple (LCM) of 2535 and 2544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2535 and 2544. First we will calculate the prime factors of 2535 and 2544.

Prime Factorization of 2535

Prime factors of 2535 are 3, 5, 13. Prime factorization of 2535 in exponential form is:

2535 = 31 × 51 × 132

Prime Factorization of 2544

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 2535 and 2544.

LCM(2535,2544) = 31 × 51 × 132 × 24 × 531
LCM(2535,2544) = 2149680