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What is the Least Common Multiple of 94218 and 94230?

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 94218 and 94230 is 1479693690.

LCM(94218,94230) = 1479693690

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Least Common Multiple of 94218 and 94230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94218 and 94230, than apply into the LCM equation.

GCF(94218,94230) = 6
LCM(94218,94230) = ( 94218 × 94230) / 6
LCM(94218,94230) = 8878162140 / 6
LCM(94218,94230) = 1479693690

Least Common Multiple (LCM) of 94218 and 94230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94218 and 94230. First we will calculate the prime factors of 94218 and 94230.

Prime Factorization of 94218

Prime factors of 94218 are 2, 3, 41, 383. Prime factorization of 94218 in exponential form is:

94218 = 21 × 31 × 411 × 3831

Prime Factorization of 94230

Prime factors of 94230 are 2, 3, 5, 349. Prime factorization of 94230 in exponential form is:

94230 = 21 × 33 × 51 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 94218 and 94230.

LCM(94218,94230) = 21 × 33 × 411 × 3831 × 51 × 3491
LCM(94218,94230) = 1479693690