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What is the Least Common Multiple of 57315 and 57328?

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 57315 and 57328 is 3285754320.

LCM(57315,57328) = 3285754320

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Least Common Multiple of 57315 and 57328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57315 and 57328, than apply into the LCM equation.

GCF(57315,57328) = 1
LCM(57315,57328) = ( 57315 × 57328) / 1
LCM(57315,57328) = 3285754320 / 1
LCM(57315,57328) = 3285754320

Least Common Multiple (LCM) of 57315 and 57328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57315 and 57328. First we will calculate the prime factors of 57315 and 57328.

Prime Factorization of 57315

Prime factors of 57315 are 3, 5, 3821. Prime factorization of 57315 in exponential form is:

57315 = 31 × 51 × 38211

Prime Factorization of 57328

Prime factors of 57328 are 2, 3583. Prime factorization of 57328 in exponential form is:

57328 = 24 × 35831

Now multiplying the highest exponent prime factors to calculate the LCM of 57315 and 57328.

LCM(57315,57328) = 31 × 51 × 38211 × 24 × 35831
LCM(57315,57328) = 3285754320