What is the Least Common Multiple of 81036 and 81045?

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 81036 and 81045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81036 and 81045, than apply into the LCM equation.

GCF(81036,81045) = 9
LCM(81036,81045) = ( 81036 × 81045) / 9
LCM(81036,81045) = 6567562620 / 9
LCM(81036,81045) = 729729180

Least Common Multiple (LCM) of 81036 and 81045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81036 and 81045. First we will calculate the prime factors of 81036 and 81045.

Prime Factorization of 81036

Prime Factorization of 81045

Now multiplying the highest exponent prime factors to calculate the LCM of 81036 and 81045.

LCM(81036,81045) = 2² × 3² × 2251¹ × 5¹ × 1801¹
LCM(81036,81045) = 729729180