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What is the Least Common Multiple of 94550 and 94569?

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 94550 and 94569 is 8941498950.

LCM(94550,94569) = 8941498950

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Least Common Multiple of 94550 and 94569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94550 and 94569, than apply into the LCM equation.

GCF(94550,94569) = 1
LCM(94550,94569) = ( 94550 × 94569) / 1
LCM(94550,94569) = 8941498950 / 1
LCM(94550,94569) = 8941498950

Least Common Multiple (LCM) of 94550 and 94569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94550 and 94569. First we will calculate the prime factors of 94550 and 94569.

Prime Factorization of 94550

Prime factors of 94550 are 2, 5, 31, 61. Prime factorization of 94550 in exponential form is:

94550 = 21 × 52 × 311 × 611

Prime Factorization of 94569

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

94569 = 31 × 291 × 10871

Now multiplying the highest exponent prime factors to calculate the LCM of 94550 and 94569.

LCM(94550,94569) = 21 × 52 × 311 × 611 × 31 × 291 × 10871
LCM(94550,94569) = 8941498950