What is the Least Common Multiple of 94928 and 94946?

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 94928 and 94946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94928 and 94946, than apply into the LCM equation.

GCF(94928,94946) = 2
LCM(94928,94946) = ( 94928 × 94946) / 2
LCM(94928,94946) = 9013033888 / 2
LCM(94928,94946) = 4506516944

Least Common Multiple (LCM) of 94928 and 94946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94928 and 94946. First we will calculate the prime factors of 94928 and 94946.

Prime Factorization of 94928

Prime Factorization of 94946

Now multiplying the highest exponent prime factors to calculate the LCM of 94928 and 94946.

LCM(94928,94946) = 2⁴ × 17¹ × 349¹ × 29¹ × 1637¹
LCM(94928,94946) = 4506516944