What is the Least Common Multiple of 94784 and 94798?

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 of 94784 and 94798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94784 and 94798, than apply into the LCM equation.

GCF(94784,94798) = 2
LCM(94784,94798) = ( 94784 × 94798) / 2
LCM(94784,94798) = 8985333632 / 2
LCM(94784,94798) = 4492666816

Least Common Multiple (LCM) of 94784 and 94798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94784 and 94798. First we will calculate the prime factors of 94784 and 94798.

Prime Factorization of 94784

Prime Factorization of 94798

Now multiplying the highest exponent prime factors to calculate the LCM of 94784 and 94798.

LCM(94784,94798) = 2⁶ × 1481¹ × 11¹ × 31¹ × 139¹
LCM(94784,94798) = 4492666816