What is the Least Common Multiple of 60705 and 60720?

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 60705 and 60720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60705 and 60720, than apply into the LCM equation.

GCF(60705,60720) = 15
LCM(60705,60720) = ( 60705 × 60720) / 15
LCM(60705,60720) = 3686007600 / 15
LCM(60705,60720) = 245733840

Least Common Multiple (LCM) of 60705 and 60720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60705 and 60720. First we will calculate the prime factors of 60705 and 60720.

Prime Factorization of 60705

Prime Factorization of 60720

Now multiplying the highest exponent prime factors to calculate the LCM of 60705 and 60720.

LCM(60705,60720) = 3² × 5¹ × 19¹ × 71¹ × 2⁴ × 11¹ × 23¹
LCM(60705,60720) = 245733840