What is the Least Common Multiple of 62928 and 62946?

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 62928 and 62946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62928 and 62946, than apply into the LCM equation.

GCF(62928,62946) = 18
LCM(62928,62946) = ( 62928 × 62946) / 18
LCM(62928,62946) = 3961065888 / 18
LCM(62928,62946) = 220059216

Least Common Multiple (LCM) of 62928 and 62946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62928 and 62946. First we will calculate the prime factors of 62928 and 62946.

Prime Factorization of 62928

Prime Factorization of 62946

Now multiplying the highest exponent prime factors to calculate the LCM of 62928 and 62946.

LCM(62928,62946) = 2⁴ × 3² × 19¹ × 23¹ × 13¹ × 269¹
LCM(62928,62946) = 220059216