What is the Least Common Multiple of 66795 and 66812?

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 66795 and 66812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66795 and 66812, than apply into the LCM equation.

GCF(66795,66812) = 1
LCM(66795,66812) = ( 66795 × 66812) / 1
LCM(66795,66812) = 4462707540 / 1
LCM(66795,66812) = 4462707540

Least Common Multiple (LCM) of 66795 and 66812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66795 and 66812. First we will calculate the prime factors of 66795 and 66812.

Prime Factorization of 66795

Prime Factorization of 66812

Now multiplying the highest exponent prime factors to calculate the LCM of 66795 and 66812.

LCM(66795,66812) = 3¹ × 5¹ × 61¹ × 73¹ × 2² × 16703¹
LCM(66795,66812) = 4462707540