What is the Least Common Multiple of 60687 and 60699?

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 60687 and 60699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60687 and 60699, than apply into the LCM equation.

GCF(60687,60699) = 3
LCM(60687,60699) = ( 60687 × 60699) / 3
LCM(60687,60699) = 3683640213 / 3
LCM(60687,60699) = 1227880071

Least Common Multiple (LCM) of 60687 and 60699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60687 and 60699. First we will calculate the prime factors of 60687 and 60699.

Prime Factorization of 60687

Prime Factorization of 60699

Now multiplying the highest exponent prime factors to calculate the LCM of 60687 and 60699.

LCM(60687,60699) = 3² × 11¹ × 613¹ × 20233¹
LCM(60687,60699) = 1227880071