What is the Least Common Multiple of 9060 and 9069?

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 9060 and 9069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9060 and 9069, than apply into the LCM equation.

GCF(9060,9069) = 3
LCM(9060,9069) = ( 9060 × 9069) / 3
LCM(9060,9069) = 82165140 / 3
LCM(9060,9069) = 27388380

Least Common Multiple (LCM) of 9060 and 9069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9060 and 9069. First we will calculate the prime factors of 9060 and 9069.

Prime Factorization of 9060

Prime Factorization of 9069

Now multiplying the highest exponent prime factors to calculate the LCM of 9060 and 9069.

LCM(9060,9069) = 2² × 3¹ × 5¹ × 151¹ × 3023¹
LCM(9060,9069) = 27388380