What is the Least Common Multiple of 68719 and 68733?

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 68719 and 68733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68719 and 68733, than apply into the LCM equation.

GCF(68719,68733) = 7
LCM(68719,68733) = ( 68719 × 68733) / 7
LCM(68719,68733) = 4723263027 / 7
LCM(68719,68733) = 674751861

Least Common Multiple (LCM) of 68719 and 68733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68719 and 68733. First we will calculate the prime factors of 68719 and 68733.

Prime Factorization of 68719

Prime Factorization of 68733

Now multiplying the highest exponent prime factors to calculate the LCM of 68719 and 68733.

LCM(68719,68733) = 7¹ × 9817¹ × 3² × 1091¹
LCM(68719,68733) = 674751861