What is the Least Common Multiple of 60804 and 60822?

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 60804 and 60822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60804 and 60822, than apply into the LCM equation.

GCF(60804,60822) = 18
LCM(60804,60822) = ( 60804 × 60822) / 18
LCM(60804,60822) = 3698220888 / 18
LCM(60804,60822) = 205456716

Least Common Multiple (LCM) of 60804 and 60822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60804 and 60822. First we will calculate the prime factors of 60804 and 60822.

Prime Factorization of 60804

Prime Factorization of 60822

Now multiplying the highest exponent prime factors to calculate the LCM of 60804 and 60822.

LCM(60804,60822) = 2² × 3³ × 563¹ × 31¹ × 109¹
LCM(60804,60822) = 205456716