What is the Least Common Multiple of 12060 and 12069?

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 12060 and 12069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12060 and 12069, than apply into the LCM equation.

GCF(12060,12069) = 9
LCM(12060,12069) = ( 12060 × 12069) / 9
LCM(12060,12069) = 145552140 / 9
LCM(12060,12069) = 16172460

Least Common Multiple (LCM) of 12060 and 12069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12060 and 12069. First we will calculate the prime factors of 12060 and 12069.

Prime Factorization of 12060

Prime Factorization of 12069

Now multiplying the highest exponent prime factors to calculate the LCM of 12060 and 12069.

LCM(12060,12069) = 2² × 3⁴ × 5¹ × 67¹ × 149¹
LCM(12060,12069) = 16172460