What is the Least Common Multiple of 66720 and 66735?

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 66720 and 66735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66720 and 66735, than apply into the LCM equation.

GCF(66720,66735) = 15
LCM(66720,66735) = ( 66720 × 66735) / 15
LCM(66720,66735) = 4452559200 / 15
LCM(66720,66735) = 296837280

Least Common Multiple (LCM) of 66720 and 66735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66720 and 66735. First we will calculate the prime factors of 66720 and 66735.

Prime Factorization of 66720

Prime Factorization of 66735

Now multiplying the highest exponent prime factors to calculate the LCM of 66720 and 66735.

LCM(66720,66735) = 2⁵ × 3² × 5¹ × 139¹ × 1483¹
LCM(66720,66735) = 296837280