What is the Least Common Multiple of 72928 and 72946?

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 72928 and 72946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72928 and 72946, than apply into the LCM equation.

GCF(72928,72946) = 2
LCM(72928,72946) = ( 72928 × 72946) / 2
LCM(72928,72946) = 5319805888 / 2
LCM(72928,72946) = 2659902944

Least Common Multiple (LCM) of 72928 and 72946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72928 and 72946. First we will calculate the prime factors of 72928 and 72946.

Prime Factorization of 72928

Prime Factorization of 72946

Now multiplying the highest exponent prime factors to calculate the LCM of 72928 and 72946.

LCM(72928,72946) = 2⁵ × 43¹ × 53¹ × 36473¹
LCM(72928,72946) = 2659902944