What is the Least Common Multiple of 60795 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 60795 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 60795 and 60804, than apply into the LCM equation.

GCF(60795,60804) = 9
LCM(60795,60804) = ( 60795 × 60804) / 9
LCM(60795,60804) = 3696579180 / 9
LCM(60795,60804) = 410731020

Least Common Multiple (LCM) of 60795 and 60804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60795 and 60804. First we will calculate the prime factors of 60795 and 60804.

Prime Factorization of 60795

Prime Factorization of 60804

Now multiplying the highest exponent prime factors to calculate the LCM of 60795 and 60804.

LCM(60795,60804) = 3³ × 5¹ × 7¹ × 193¹ × 2² × 563¹
LCM(60795,60804) = 410731020