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What is the Least Common Multiple of 94897 and 94909?

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 94897 and 94909 is 9006579373.

LCM(94897,94909) = 9006579373

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Least Common Multiple of 94897 and 94909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94897 and 94909, than apply into the LCM equation.

GCF(94897,94909) = 1
LCM(94897,94909) = ( 94897 × 94909) / 1
LCM(94897,94909) = 9006579373 / 1
LCM(94897,94909) = 9006579373

Least Common Multiple (LCM) of 94897 and 94909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94897 and 94909. First we will calculate the prime factors of 94897 and 94909.

Prime Factorization of 94897

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

94897 = 111 × 86271

Prime Factorization of 94909

Prime factors of 94909 are 107, 887. Prime factorization of 94909 in exponential form is:

94909 = 1071 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 94897 and 94909.

LCM(94897,94909) = 111 × 86271 × 1071 × 8871
LCM(94897,94909) = 9006579373