What is the Least Common Multiple of 66804 and 66822?

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 66822 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 66822, than apply into the LCM equation.

GCF(66804,66822) = 6
LCM(66804,66822) = ( 66804 × 66822) / 6
LCM(66804,66822) = 4463976888 / 6
LCM(66804,66822) = 743996148

Least Common Multiple (LCM) of 66804 and 66822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66804 and 66822. First we will calculate the prime factors of 66804 and 66822.

Prime Factorization of 66804

Prime Factorization of 66822

Now multiplying the highest exponent prime factors to calculate the LCM of 66804 and 66822.

LCM(66804,66822) = 2² × 3¹ × 19¹ × 293¹ × 7¹ × 37¹ × 43¹
LCM(66804,66822) = 743996148