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What is the Least Common Multiple of 94569 and 94577?

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 94569 and 94577 is 8944052313.

LCM(94569,94577) = 8944052313

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Least Common Multiple of 94569 and 94577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94569 and 94577, than apply into the LCM equation.

GCF(94569,94577) = 1
LCM(94569,94577) = ( 94569 × 94577) / 1
LCM(94569,94577) = 8944052313 / 1
LCM(94569,94577) = 8944052313

Least Common Multiple (LCM) of 94569 and 94577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94569 and 94577. First we will calculate the prime factors of 94569 and 94577.

Prime Factorization of 94569

Prime factors of 94569 are 3, 29, 1087. Prime factorization of 94569 in exponential form is:

94569 = 31 × 291 × 10871

Prime Factorization of 94577

Prime factors of 94577 are 7, 59, 229. Prime factorization of 94577 in exponential form is:

94577 = 71 × 591 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 94569 and 94577.

LCM(94569,94577) = 31 × 291 × 10871 × 71 × 591 × 2291
LCM(94569,94577) = 8944052313