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What is the Least Common Multiple of 57303 and 57315?

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 57303 and 57315 is 1094773815.

LCM(57303,57315) = 1094773815

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Least Common Multiple of 57303 and 57315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57303 and 57315, than apply into the LCM equation.

GCF(57303,57315) = 3
LCM(57303,57315) = ( 57303 × 57315) / 3
LCM(57303,57315) = 3284321445 / 3
LCM(57303,57315) = 1094773815

Least Common Multiple (LCM) of 57303 and 57315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57303 and 57315. First we will calculate the prime factors of 57303 and 57315.

Prime Factorization of 57303

Prime factors of 57303 are 3, 6367. Prime factorization of 57303 in exponential form is:

57303 = 32 × 63671

Prime Factorization of 57315

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

57315 = 31 × 51 × 38211

Now multiplying the highest exponent prime factors to calculate the LCM of 57303 and 57315.

LCM(57303,57315) = 32 × 63671 × 51 × 38211
LCM(57303,57315) = 1094773815