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What is the Least Common Multiple of 57320 and 57327?

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 57320 and 57327 is 3285983640.

LCM(57320,57327) = 3285983640

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Least Common Multiple of 57320 and 57327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57320 and 57327, than apply into the LCM equation.

GCF(57320,57327) = 1
LCM(57320,57327) = ( 57320 × 57327) / 1
LCM(57320,57327) = 3285983640 / 1
LCM(57320,57327) = 3285983640

Least Common Multiple (LCM) of 57320 and 57327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57320 and 57327. First we will calculate the prime factors of 57320 and 57327.

Prime Factorization of 57320

Prime factors of 57320 are 2, 5, 1433. Prime factorization of 57320 in exponential form is:

57320 = 23 × 51 × 14331

Prime Factorization of 57327

Prime factors of 57327 are 3, 97, 197. Prime factorization of 57327 in exponential form is:

57327 = 31 × 971 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 57320 and 57327.

LCM(57320,57327) = 23 × 51 × 14331 × 31 × 971 × 1971
LCM(57320,57327) = 3285983640