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What is the Least Common Multiple of 94825 and 94838?

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 94825 and 94838 is 8993013350.

LCM(94825,94838) = 8993013350

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Least Common Multiple of 94825 and 94838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94825 and 94838, than apply into the LCM equation.

GCF(94825,94838) = 1
LCM(94825,94838) = ( 94825 × 94838) / 1
LCM(94825,94838) = 8993013350 / 1
LCM(94825,94838) = 8993013350

Least Common Multiple (LCM) of 94825 and 94838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94825 and 94838. First we will calculate the prime factors of 94825 and 94838.

Prime Factorization of 94825

Prime factors of 94825 are 5, 3793. Prime factorization of 94825 in exponential form is:

94825 = 52 × 37931

Prime Factorization of 94838

Prime factors of 94838 are 2, 47419. Prime factorization of 94838 in exponential form is:

94838 = 21 × 474191

Now multiplying the highest exponent prime factors to calculate the LCM of 94825 and 94838.

LCM(94825,94838) = 52 × 37931 × 21 × 474191
LCM(94825,94838) = 8993013350