What is the Least Common Multiple of 68916 and 68928?

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 68916 and 68928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68916 and 68928, than apply into the LCM equation.

GCF(68916,68928) = 12
LCM(68916,68928) = ( 68916 × 68928) / 12
LCM(68916,68928) = 4750242048 / 12
LCM(68916,68928) = 395853504

Least Common Multiple (LCM) of 68916 and 68928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68916 and 68928. First we will calculate the prime factors of 68916 and 68928.

Prime Factorization of 68916

Prime Factorization of 68928

Now multiplying the highest exponent prime factors to calculate the LCM of 68916 and 68928.

LCM(68916,68928) = 2⁶ × 3¹ × 5743¹ × 359¹
LCM(68916,68928) = 395853504