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What is the Least Common Multiple of 57048 and 57054?

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 57048 and 57054 is 542469432.

LCM(57048,57054) = 542469432

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Least Common Multiple of 57048 and 57054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57048 and 57054, than apply into the LCM equation.

GCF(57048,57054) = 6
LCM(57048,57054) = ( 57048 × 57054) / 6
LCM(57048,57054) = 3254816592 / 6
LCM(57048,57054) = 542469432

Least Common Multiple (LCM) of 57048 and 57054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57048 and 57054. First we will calculate the prime factors of 57048 and 57054.

Prime Factorization of 57048

Prime factors of 57048 are 2, 3, 2377. Prime factorization of 57048 in exponential form is:

57048 = 23 × 31 × 23771

Prime Factorization of 57054

Prime factors of 57054 are 2, 3, 37, 257. Prime factorization of 57054 in exponential form is:

57054 = 21 × 31 × 371 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 57048 and 57054.

LCM(57048,57054) = 23 × 31 × 23771 × 371 × 2571
LCM(57048,57054) = 542469432