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What is the Least Common Multiple of 94886 and 94893?

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 94886 and 94893 is 9004017198.

LCM(94886,94893) = 9004017198

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Least Common Multiple of 94886 and 94893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94886 and 94893, than apply into the LCM equation.

GCF(94886,94893) = 1
LCM(94886,94893) = ( 94886 × 94893) / 1
LCM(94886,94893) = 9004017198 / 1
LCM(94886,94893) = 9004017198

Least Common Multiple (LCM) of 94886 and 94893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94886 and 94893. First we will calculate the prime factors of 94886 and 94893.

Prime Factorization of 94886

Prime factors of 94886 are 2, 11, 19, 227. Prime factorization of 94886 in exponential form is:

94886 = 21 × 111 × 191 × 2271

Prime Factorization of 94893

Prime factors of 94893 are 3, 47, 673. Prime factorization of 94893 in exponential form is:

94893 = 31 × 471 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 94886 and 94893.

LCM(94886,94893) = 21 × 111 × 191 × 2271 × 31 × 471 × 6731
LCM(94886,94893) = 9004017198