What is the Least Common Multiple of 68928 and 68940?

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 68928 and 68940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68928 and 68940, than apply into the LCM equation.

GCF(68928,68940) = 12
LCM(68928,68940) = ( 68928 × 68940) / 12
LCM(68928,68940) = 4751896320 / 12
LCM(68928,68940) = 395991360

Least Common Multiple (LCM) of 68928 and 68940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68928 and 68940. First we will calculate the prime factors of 68928 and 68940.

Prime Factorization of 68928

Prime Factorization of 68940

Now multiplying the highest exponent prime factors to calculate the LCM of 68928 and 68940.

LCM(68928,68940) = 2⁶ × 3² × 359¹ × 5¹ × 383¹
LCM(68928,68940) = 395991360