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What is the Least Common Multiple of 94466 and 94482?

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 94466 and 94482 is 4462668306.

LCM(94466,94482) = 4462668306

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Least Common Multiple of 94466 and 94482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94466 and 94482, than apply into the LCM equation.

GCF(94466,94482) = 2
LCM(94466,94482) = ( 94466 × 94482) / 2
LCM(94466,94482) = 8925336612 / 2
LCM(94466,94482) = 4462668306

Least Common Multiple (LCM) of 94466 and 94482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94466 and 94482. First we will calculate the prime factors of 94466 and 94482.

Prime Factorization of 94466

Prime factors of 94466 are 2, 149, 317. Prime factorization of 94466 in exponential form is:

94466 = 21 × 1491 × 3171

Prime Factorization of 94482

Prime factors of 94482 are 2, 3, 29, 181. Prime factorization of 94482 in exponential form is:

94482 = 21 × 32 × 291 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 94466 and 94482.

LCM(94466,94482) = 21 × 1491 × 3171 × 32 × 291 × 1811
LCM(94466,94482) = 4462668306