What is the Least Common Multiple of 54928 and 54946?

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 54928 and 54946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54928 and 54946, than apply into the LCM equation.

GCF(54928,54946) = 2
LCM(54928,54946) = ( 54928 × 54946) / 2
LCM(54928,54946) = 3018073888 / 2
LCM(54928,54946) = 1509036944

Least Common Multiple (LCM) of 54928 and 54946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54928 and 54946. First we will calculate the prime factors of 54928 and 54946.

Prime Factorization of 54928

Prime Factorization of 54946

Now multiplying the highest exponent prime factors to calculate the LCM of 54928 and 54946.

LCM(54928,54946) = 2⁴ × 3433¹ × 83¹ × 331¹
LCM(54928,54946) = 1509036944