What is the Least Common Multiple of 72060 and 72078?

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 72060 and 72078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72060 and 72078, than apply into the LCM equation.

GCF(72060,72078) = 6
LCM(72060,72078) = ( 72060 × 72078) / 6
LCM(72060,72078) = 5193940680 / 6
LCM(72060,72078) = 865656780

Least Common Multiple (LCM) of 72060 and 72078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72060 and 72078. First we will calculate the prime factors of 72060 and 72078.

Prime Factorization of 72060

Prime Factorization of 72078

Now multiplying the highest exponent prime factors to calculate the LCM of 72060 and 72078.

LCM(72060,72078) = 2² × 3¹ × 5¹ × 1201¹ × 41¹ × 293¹
LCM(72060,72078) = 865656780