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What is the Least Common Multiple of 94271 and 94280?

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 94271 and 94280 is 8887869880.

LCM(94271,94280) = 8887869880

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Least Common Multiple of 94271 and 94280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94271 and 94280, than apply into the LCM equation.

GCF(94271,94280) = 1
LCM(94271,94280) = ( 94271 × 94280) / 1
LCM(94271,94280) = 8887869880 / 1
LCM(94271,94280) = 8887869880

Least Common Multiple (LCM) of 94271 and 94280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94271 and 94280. First we will calculate the prime factors of 94271 and 94280.

Prime Factorization of 94271

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

94271 = 311 × 30411

Prime Factorization of 94280

Prime factors of 94280 are 2, 5, 2357. Prime factorization of 94280 in exponential form is:

94280 = 23 × 51 × 23571

Now multiplying the highest exponent prime factors to calculate the LCM of 94271 and 94280.

LCM(94271,94280) = 311 × 30411 × 23 × 51 × 23571
LCM(94271,94280) = 8887869880