What is the Least Common Multiple of 84928 and 84946?

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 84928 and 84946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84928 and 84946, than apply into the LCM equation.

GCF(84928,84946) = 2
LCM(84928,84946) = ( 84928 × 84946) / 2
LCM(84928,84946) = 7214293888 / 2
LCM(84928,84946) = 3607146944

Least Common Multiple (LCM) of 84928 and 84946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84928 and 84946. First we will calculate the prime factors of 84928 and 84946.

Prime Factorization of 84928

Prime Factorization of 84946

Now multiplying the highest exponent prime factors to calculate the LCM of 84928 and 84946.

LCM(84928,84946) = 2⁶ × 1327¹ × 42473¹
LCM(84928,84946) = 3607146944