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What is the Least Common Multiple of 94468 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 94468 and 94482 is 4462762788.

LCM(94468,94482) = 4462762788

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Least Common Multiple of 94468 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 94468 and 94482, than apply into the LCM equation.

GCF(94468,94482) = 2
LCM(94468,94482) = ( 94468 × 94482) / 2
LCM(94468,94482) = 8925525576 / 2
LCM(94468,94482) = 4462762788

Least Common Multiple (LCM) of 94468 and 94482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94468 and 94482. First we will calculate the prime factors of 94468 and 94482.

Prime Factorization of 94468

Prime factors of 94468 are 2, 11, 19, 113. Prime factorization of 94468 in exponential form is:

94468 = 22 × 111 × 191 × 1131

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 94468 and 94482.

LCM(94468,94482) = 22 × 111 × 191 × 1131 × 32 × 291 × 1811
LCM(94468,94482) = 4462762788