What is the Least Common Multiple of 66804 and 66821?

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 66821 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 66821, than apply into the LCM equation.

GCF(66804,66821) = 1
LCM(66804,66821) = ( 66804 × 66821) / 1
LCM(66804,66821) = 4463910084 / 1
LCM(66804,66821) = 4463910084

Least Common Multiple (LCM) of 66804 and 66821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66804 and 66821. First we will calculate the prime factors of 66804 and 66821.

Prime Factorization of 66804

Prime Factorization of 66821

Now multiplying the highest exponent prime factors to calculate the LCM of 66804 and 66821.

LCM(66804,66821) = 2² × 3¹ × 19¹ × 293¹ × 66821¹
LCM(66804,66821) = 4463910084