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What is the Least Common Multiple of 94893 and 94897?

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 94893 and 94897 is 9005061021.

LCM(94893,94897) = 9005061021

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Least Common Multiple of 94893 and 94897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94893 and 94897, than apply into the LCM equation.

GCF(94893,94897) = 1
LCM(94893,94897) = ( 94893 × 94897) / 1
LCM(94893,94897) = 9005061021 / 1
LCM(94893,94897) = 9005061021

Least Common Multiple (LCM) of 94893 and 94897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94893 and 94897. First we will calculate the prime factors of 94893 and 94897.

Prime Factorization of 94893

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

94893 = 31 × 471 × 6731

Prime Factorization of 94897

Prime factors of 94897 are 11, 8627. Prime factorization of 94897 in exponential form is:

94897 = 111 × 86271

Now multiplying the highest exponent prime factors to calculate the LCM of 94893 and 94897.

LCM(94893,94897) = 31 × 471 × 6731 × 111 × 86271
LCM(94893,94897) = 9005061021