What is the Least Common Multiple of 60794 and 60804?

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 60794 and 60804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60794 and 60804, than apply into the LCM equation.

GCF(60794,60804) = 2
LCM(60794,60804) = ( 60794 × 60804) / 2
LCM(60794,60804) = 3696518376 / 2
LCM(60794,60804) = 1848259188

Least Common Multiple (LCM) of 60794 and 60804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60794 and 60804. First we will calculate the prime factors of 60794 and 60804.

Prime Factorization of 60794

Prime Factorization of 60804

Now multiplying the highest exponent prime factors to calculate the LCM of 60794 and 60804.

LCM(60794,60804) = 2² × 113¹ × 269¹ × 3³ × 563¹
LCM(60794,60804) = 1848259188