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What is the Least Common Multiple of 2544 and 2550?

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 2544 and 2550 is 1081200.

LCM(2544,2550) = 1081200

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Least Common Multiple of 2544 and 2550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2544 and 2550, than apply into the LCM equation.

GCF(2544,2550) = 6
LCM(2544,2550) = ( 2544 × 2550) / 6
LCM(2544,2550) = 6487200 / 6
LCM(2544,2550) = 1081200

Least Common Multiple (LCM) of 2544 and 2550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2544 and 2550. First we will calculate the prime factors of 2544 and 2550.

Prime Factorization of 2544

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

2544 = 24 × 31 × 531

Prime Factorization of 2550

Prime factors of 2550 are 2, 3, 5, 17. Prime factorization of 2550 in exponential form is:

2550 = 21 × 31 × 52 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 2544 and 2550.

LCM(2544,2550) = 24 × 31 × 531 × 52 × 171
LCM(2544,2550) = 1081200