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What is the Least Common Multiple of 94291 and 94311?

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 94291 and 94311 is 8892678501.

LCM(94291,94311) = 8892678501

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Least Common Multiple of 94291 and 94311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94291 and 94311, than apply into the LCM equation.

GCF(94291,94311) = 1
LCM(94291,94311) = ( 94291 × 94311) / 1
LCM(94291,94311) = 8892678501 / 1
LCM(94291,94311) = 8892678501

Least Common Multiple (LCM) of 94291 and 94311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94291 and 94311. First we will calculate the prime factors of 94291 and 94311.

Prime Factorization of 94291

Prime factors of 94291 are 94291. Prime factorization of 94291 in exponential form is:

94291 = 942911

Prime Factorization of 94311

Prime factors of 94311 are 3, 7, 499. Prime factorization of 94311 in exponential form is:

94311 = 33 × 71 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 94291 and 94311.

LCM(94291,94311) = 942911 × 33 × 71 × 4991
LCM(94291,94311) = 8892678501