What is the Least Common Multiple of 60804 and 60819?

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 60819 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 60819, than apply into the LCM equation.

GCF(60804,60819) = 3
LCM(60804,60819) = ( 60804 × 60819) / 3
LCM(60804,60819) = 3698038476 / 3
LCM(60804,60819) = 1232679492

Least Common Multiple (LCM) of 60804 and 60819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60804 and 60819. First we will calculate the prime factors of 60804 and 60819.

Prime Factorization of 60804

Prime Factorization of 60819

Now multiplying the highest exponent prime factors to calculate the LCM of 60804 and 60819.

LCM(60804,60819) = 2² × 3³ × 563¹ × 11¹ × 19¹ × 97¹
LCM(60804,60819) = 1232679492