What is the Least Common Multiple of 62912 and 62928?

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 62912 and 62928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62912 and 62928, than apply into the LCM equation.

GCF(62912,62928) = 16
LCM(62912,62928) = ( 62912 × 62928) / 16
LCM(62912,62928) = 3958926336 / 16
LCM(62912,62928) = 247432896

Least Common Multiple (LCM) of 62912 and 62928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62912 and 62928. First we will calculate the prime factors of 62912 and 62928.

Prime Factorization of 62912

Prime Factorization of 62928

Now multiplying the highest exponent prime factors to calculate the LCM of 62912 and 62928.

LCM(62912,62928) = 2⁶ × 983¹ × 3² × 19¹ × 23¹
LCM(62912,62928) = 247432896