What is the Least Common Multiple of 66804 and 66819?

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 66804 and 66819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66804 and 66819, than apply into the LCM equation.

GCF(66804,66819) = 3
LCM(66804,66819) = ( 66804 × 66819) / 3
LCM(66804,66819) = 4463776476 / 3
LCM(66804,66819) = 1487925492

Least Common Multiple (LCM) of 66804 and 66819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66804 and 66819. First we will calculate the prime factors of 66804 and 66819.

Prime Factorization of 66804

Prime Factorization of 66819

Now multiplying the highest exponent prime factors to calculate the LCM of 66804 and 66819.

LCM(66804,66819) = 2² × 3¹ × 19¹ × 293¹ × 22273¹
LCM(66804,66819) = 1487925492