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What is the Least Common Multiple of 94852 and 94862?

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 94852 and 94862 is 4498925212.

LCM(94852,94862) = 4498925212

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Least Common Multiple of 94852 and 94862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94852 and 94862, than apply into the LCM equation.

GCF(94852,94862) = 2
LCM(94852,94862) = ( 94852 × 94862) / 2
LCM(94852,94862) = 8997850424 / 2
LCM(94852,94862) = 4498925212

Least Common Multiple (LCM) of 94852 and 94862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94852 and 94862. First we will calculate the prime factors of 94852 and 94862.

Prime Factorization of 94852

Prime factors of 94852 are 2, 23, 1031. Prime factorization of 94852 in exponential form is:

94852 = 22 × 231 × 10311

Prime Factorization of 94862

Prime factors of 94862 are 2, 47431. Prime factorization of 94862 in exponential form is:

94862 = 21 × 474311

Now multiplying the highest exponent prime factors to calculate the LCM of 94852 and 94862.

LCM(94852,94862) = 22 × 231 × 10311 × 474311
LCM(94852,94862) = 4498925212