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What is the Least Common Multiple of 94257 and 94271?

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 94257 and 94271 is 8885701647.

LCM(94257,94271) = 8885701647

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Least Common Multiple of 94257 and 94271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94257 and 94271, than apply into the LCM equation.

GCF(94257,94271) = 1
LCM(94257,94271) = ( 94257 × 94271) / 1
LCM(94257,94271) = 8885701647 / 1
LCM(94257,94271) = 8885701647

Least Common Multiple (LCM) of 94257 and 94271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94257 and 94271. First we will calculate the prime factors of 94257 and 94271.

Prime Factorization of 94257

Prime factors of 94257 are 3, 3491. Prime factorization of 94257 in exponential form is:

94257 = 33 × 34911

Prime Factorization of 94271

Prime factors of 94271 are 31, 3041. Prime factorization of 94271 in exponential form is:

94271 = 311 × 30411

Now multiplying the highest exponent prime factors to calculate the LCM of 94257 and 94271.

LCM(94257,94271) = 33 × 34911 × 311 × 30411
LCM(94257,94271) = 8885701647