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What is the Least Common Multiple of 94488 and 94493?

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 94488 and 94493 is 8928454584.

LCM(94488,94493) = 8928454584

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Least Common Multiple of 94488 and 94493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94488 and 94493, than apply into the LCM equation.

GCF(94488,94493) = 1
LCM(94488,94493) = ( 94488 × 94493) / 1
LCM(94488,94493) = 8928454584 / 1
LCM(94488,94493) = 8928454584

Least Common Multiple (LCM) of 94488 and 94493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94488 and 94493. First we will calculate the prime factors of 94488 and 94493.

Prime Factorization of 94488

Prime factors of 94488 are 2, 3, 31, 127. Prime factorization of 94488 in exponential form is:

94488 = 23 × 31 × 311 × 1271

Prime Factorization of 94493

Prime factors of 94493 are 7, 13499. Prime factorization of 94493 in exponential form is:

94493 = 71 × 134991

Now multiplying the highest exponent prime factors to calculate the LCM of 94488 and 94493.

LCM(94488,94493) = 23 × 31 × 311 × 1271 × 71 × 134991
LCM(94488,94493) = 8928454584