What is the Least Common Multiple of 60699 and 60709?

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 60699 and 60709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60699 and 60709, than apply into the LCM equation.

GCF(60699,60709) = 1
LCM(60699,60709) = ( 60699 × 60709) / 1
LCM(60699,60709) = 3684975591 / 1
LCM(60699,60709) = 3684975591

Least Common Multiple (LCM) of 60699 and 60709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60699 and 60709. First we will calculate the prime factors of 60699 and 60709.

Prime Factorization of 60699

Prime Factorization of 60709

Now multiplying the highest exponent prime factors to calculate the LCM of 60699 and 60709.

LCM(60699,60709) = 3¹ × 20233¹ × 11¹ × 5519¹
LCM(60699,60709) = 3684975591