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What is the Least Common Multiple of 94545 and 94565?

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 94545 and 94565 is 1788129585.

LCM(94545,94565) = 1788129585

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Least Common Multiple of 94545 and 94565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94545 and 94565, than apply into the LCM equation.

GCF(94545,94565) = 5
LCM(94545,94565) = ( 94545 × 94565) / 5
LCM(94545,94565) = 8940647925 / 5
LCM(94545,94565) = 1788129585

Least Common Multiple (LCM) of 94545 and 94565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94545 and 94565. First we will calculate the prime factors of 94545 and 94565.

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

Prime Factorization of 94565

Prime factors of 94565 are 5, 18913. Prime factorization of 94565 in exponential form is:

94565 = 51 × 189131

Now multiplying the highest exponent prime factors to calculate the LCM of 94545 and 94565.

LCM(94545,94565) = 32 × 51 × 111 × 1911 × 189131
LCM(94545,94565) = 1788129585