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What is the Least Common Multiple of 93488 and 93504?

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 93488 and 93504 is 546343872.

LCM(93488,93504) = 546343872

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Least Common Multiple of 93488 and 93504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93488 and 93504, than apply into the LCM equation.

GCF(93488,93504) = 16
LCM(93488,93504) = ( 93488 × 93504) / 16
LCM(93488,93504) = 8741501952 / 16
LCM(93488,93504) = 546343872

Least Common Multiple (LCM) of 93488 and 93504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93488 and 93504. First we will calculate the prime factors of 93488 and 93504.

Prime Factorization of 93488

Prime factors of 93488 are 2, 5843. Prime factorization of 93488 in exponential form is:

93488 = 24 × 58431

Prime Factorization of 93504

Prime factors of 93504 are 2, 3, 487. Prime factorization of 93504 in exponential form is:

93504 = 26 × 31 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 93488 and 93504.

LCM(93488,93504) = 26 × 58431 × 31 × 4871
LCM(93488,93504) = 546343872