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What is the Least Common Multiple of 94488 and 94494?

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 94494 is 1488091512.

LCM(94488,94494) = 1488091512

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Least Common Multiple of 94488 and 94494 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 94494, than apply into the LCM equation.

GCF(94488,94494) = 6
LCM(94488,94494) = ( 94488 × 94494) / 6
LCM(94488,94494) = 8928549072 / 6
LCM(94488,94494) = 1488091512

Least Common Multiple (LCM) of 94488 and 94494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94488 and 94494. First we will calculate the prime factors of 94488 and 94494.

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 94494

Prime factors of 94494 are 2, 3, 15749. Prime factorization of 94494 in exponential form is:

94494 = 21 × 31 × 157491

Now multiplying the highest exponent prime factors to calculate the LCM of 94488 and 94494.

LCM(94488,94494) = 23 × 31 × 311 × 1271 × 157491
LCM(94488,94494) = 1488091512