What is the Least Common Multiple of 81066 and 81072?

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 81066 and 81072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81066 and 81072, than apply into the LCM equation.

GCF(81066,81072) = 6
LCM(81066,81072) = ( 81066 × 81072) / 6
LCM(81066,81072) = 6572182752 / 6
LCM(81066,81072) = 1095363792

Least Common Multiple (LCM) of 81066 and 81072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81066 and 81072. First we will calculate the prime factors of 81066 and 81072.

Prime Factorization of 81066

Prime Factorization of 81072

Now multiplying the highest exponent prime factors to calculate the LCM of 81066 and 81072.

LCM(81066,81072) = 2⁴ × 3² × 59¹ × 229¹ × 563¹
LCM(81066,81072) = 1095363792