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What is the Least Common Multiple of 94270 and 94286?

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 94270 and 94286 is 4444170610.

LCM(94270,94286) = 4444170610

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Least Common Multiple of 94270 and 94286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94270 and 94286, than apply into the LCM equation.

GCF(94270,94286) = 2
LCM(94270,94286) = ( 94270 × 94286) / 2
LCM(94270,94286) = 8888341220 / 2
LCM(94270,94286) = 4444170610

Least Common Multiple (LCM) of 94270 and 94286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94270 and 94286. First we will calculate the prime factors of 94270 and 94286.

Prime Factorization of 94270

Prime factors of 94270 are 2, 5, 11, 857. Prime factorization of 94270 in exponential form is:

94270 = 21 × 51 × 111 × 8571

Prime Factorization of 94286

Prime factors of 94286 are 2, 47143. Prime factorization of 94286 in exponential form is:

94286 = 21 × 471431

Now multiplying the highest exponent prime factors to calculate the LCM of 94270 and 94286.

LCM(94270,94286) = 21 × 51 × 111 × 8571 × 471431
LCM(94270,94286) = 4444170610