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What is the Least Common Multiple of 94530 and 94545?

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 94530 and 94545 is 595822590.

LCM(94530,94545) = 595822590

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Least Common Multiple of 94530 and 94545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94530 and 94545, than apply into the LCM equation.

GCF(94530,94545) = 15
LCM(94530,94545) = ( 94530 × 94545) / 15
LCM(94530,94545) = 8937338850 / 15
LCM(94530,94545) = 595822590

Least Common Multiple (LCM) of 94530 and 94545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94530 and 94545. First we will calculate the prime factors of 94530 and 94545.

Prime Factorization of 94530

Prime factors of 94530 are 2, 3, 5, 23, 137. Prime factorization of 94530 in exponential form is:

94530 = 21 × 31 × 51 × 231 × 1371

Prime Factorization of 94545

Prime factors of 94545 are 3, 5, 11, 191. Prime factorization of 94545 in exponential form is:

94545 = 32 × 51 × 111 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 94530 and 94545.

LCM(94530,94545) = 21 × 32 × 51 × 231 × 1371 × 111 × 1911
LCM(94530,94545) = 595822590