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What is the Least Common Multiple of 94525 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 94525 and 94545 is 1787373225.

LCM(94525,94545) = 1787373225

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Least Common Multiple of 94525 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 94525 and 94545, than apply into the LCM equation.

GCF(94525,94545) = 5
LCM(94525,94545) = ( 94525 × 94545) / 5
LCM(94525,94545) = 8936866125 / 5
LCM(94525,94545) = 1787373225

Least Common Multiple (LCM) of 94525 and 94545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94525 and 94545. First we will calculate the prime factors of 94525 and 94545.

Prime Factorization of 94525

Prime factors of 94525 are 5, 19, 199. Prime factorization of 94525 in exponential form is:

94525 = 52 × 191 × 1991

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 94525 and 94545.

LCM(94525,94545) = 52 × 191 × 1991 × 32 × 111 × 1911
LCM(94525,94545) = 1787373225