What is the Least Common Multiple of 60717 and 60721?

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 60717 and 60721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60717 and 60721, than apply into the LCM equation.

GCF(60717,60721) = 1
LCM(60717,60721) = ( 60717 × 60721) / 1
LCM(60717,60721) = 3686796957 / 1
LCM(60717,60721) = 3686796957

Least Common Multiple (LCM) of 60717 and 60721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60717 and 60721. First we will calculate the prime factors of 60717 and 60721.

Prime Factorization of 60717

Prime Factorization of 60721

Now multiplying the highest exponent prime factors to calculate the LCM of 60717 and 60721.

LCM(60717,60721) = 3¹ × 37¹ × 547¹ × 41¹ × 1481¹
LCM(60717,60721) = 3686796957