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What is the Least Common Multiple of 94662 and 94680?

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 94680 is 497922120.

LCM(94662,94680) = 497922120

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Least Common Multiple of 94662 and 94680 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 94680, than apply into the LCM equation.

GCF(94662,94680) = 18
LCM(94662,94680) = ( 94662 × 94680) / 18
LCM(94662,94680) = 8962598160 / 18
LCM(94662,94680) = 497922120

Least Common Multiple (LCM) of 94662 and 94680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94662 and 94680. First we will calculate the prime factors of 94662 and 94680.

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 94680

Prime factors of 94680 are 2, 3, 5, 263. Prime factorization of 94680 in exponential form is:

94680 = 23 × 32 × 51 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 94662 and 94680.

LCM(94662,94680) = 23 × 33 × 17531 × 51 × 2631
LCM(94662,94680) = 497922120