What is the Least Common Multiple of 60729 and 60735?

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 60729 and 60735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60729 and 60735, than apply into the LCM equation.

GCF(60729,60735) = 3
LCM(60729,60735) = ( 60729 × 60735) / 3
LCM(60729,60735) = 3688375815 / 3
LCM(60729,60735) = 1229458605

Least Common Multiple (LCM) of 60729 and 60735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60729 and 60735. First we will calculate the prime factors of 60729 and 60735.

Prime Factorization of 60729

Prime Factorization of 60735

Now multiplying the highest exponent prime factors to calculate the LCM of 60729 and 60735.

LCM(60729,60735) = 3¹ × 31¹ × 653¹ × 5¹ × 4049¹
LCM(60729,60735) = 1229458605