What is the Least Common Multiple of 60708 and 60717?

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 60708 and 60717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60708 and 60717, than apply into the LCM equation.

GCF(60708,60717) = 3
LCM(60708,60717) = ( 60708 × 60717) / 3
LCM(60708,60717) = 3686007636 / 3
LCM(60708,60717) = 1228669212

Least Common Multiple (LCM) of 60708 and 60717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60708 and 60717. First we will calculate the prime factors of 60708 and 60717.

Prime Factorization of 60708

Prime Factorization of 60717

Now multiplying the highest exponent prime factors to calculate the LCM of 60708 and 60717.

LCM(60708,60717) = 2² × 3¹ × 5059¹ × 37¹ × 547¹
LCM(60708,60717) = 1228669212