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What is the Least Common Multiple of 94305 and 94318?

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 94305 and 94318 is 8894658990.

LCM(94305,94318) = 8894658990

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Least Common Multiple of 94305 and 94318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94305 and 94318, than apply into the LCM equation.

GCF(94305,94318) = 1
LCM(94305,94318) = ( 94305 × 94318) / 1
LCM(94305,94318) = 8894658990 / 1
LCM(94305,94318) = 8894658990

Least Common Multiple (LCM) of 94305 and 94318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94305 and 94318. First we will calculate the prime factors of 94305 and 94318.

Prime Factorization of 94305

Prime factors of 94305 are 3, 5, 6287. Prime factorization of 94305 in exponential form is:

94305 = 31 × 51 × 62871

Prime Factorization of 94318

Prime factors of 94318 are 2, 7, 6737. Prime factorization of 94318 in exponential form is:

94318 = 21 × 71 × 67371

Now multiplying the highest exponent prime factors to calculate the LCM of 94305 and 94318.

LCM(94305,94318) = 31 × 51 × 62871 × 21 × 71 × 67371
LCM(94305,94318) = 8894658990