What is the Least Common Multiple of 60689 and 60708?

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 60689 and 60708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60689 and 60708, than apply into the LCM equation.

GCF(60689,60708) = 1
LCM(60689,60708) = ( 60689 × 60708) / 1
LCM(60689,60708) = 3684307812 / 1
LCM(60689,60708) = 3684307812

Least Common Multiple (LCM) of 60689 and 60708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60689 and 60708. First we will calculate the prime factors of 60689 and 60708.

Prime Factorization of 60689

Prime Factorization of 60708

Now multiplying the highest exponent prime factors to calculate the LCM of 60689 and 60708.

LCM(60689,60708) = 60689¹ × 2² × 3¹ × 5059¹
LCM(60689,60708) = 3684307812