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What is the Least Common Multiple of 94662 and 94682?

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 94662 and 94682 is 4481393742.

LCM(94662,94682) = 4481393742

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Least Common Multiple of 94662 and 94682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94662 and 94682, than apply into the LCM equation.

GCF(94662,94682) = 2
LCM(94662,94682) = ( 94662 × 94682) / 2
LCM(94662,94682) = 8962787484 / 2
LCM(94662,94682) = 4481393742

Least Common Multiple (LCM) of 94662 and 94682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94662 and 94682. First we will calculate the prime factors of 94662 and 94682.

Prime Factorization of 94662

Prime factors of 94662 are 2, 3, 1753. Prime factorization of 94662 in exponential form is:

94662 = 21 × 33 × 17531

Prime Factorization of 94682

Prime factors of 94682 are 2, 7, 6763. Prime factorization of 94682 in exponential form is:

94682 = 21 × 71 × 67631

Now multiplying the highest exponent prime factors to calculate the LCM of 94662 and 94682.

LCM(94662,94682) = 21 × 33 × 17531 × 71 × 67631
LCM(94662,94682) = 4481393742