What is the Least Common Multiple of 94770 and 94784?

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 94770 and 94784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94770 and 94784, than apply into the LCM equation.

GCF(94770,94784) = 2
LCM(94770,94784) = ( 94770 × 94784) / 2
LCM(94770,94784) = 8982679680 / 2
LCM(94770,94784) = 4491339840

Least Common Multiple (LCM) of 94770 and 94784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94770 and 94784. First we will calculate the prime factors of 94770 and 94784.

Prime Factorization of 94770

Prime Factorization of 94784

Now multiplying the highest exponent prime factors to calculate the LCM of 94770 and 94784.

LCM(94770,94784) = 2⁶ × 3⁶ × 5¹ × 13¹ × 1481¹
LCM(94770,94784) = 4491339840