What is the Least Common Multiple of 12045 and 12060?

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 12045 and 12060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12045 and 12060, than apply into the LCM equation.

GCF(12045,12060) = 15
LCM(12045,12060) = ( 12045 × 12060) / 15
LCM(12045,12060) = 145262700 / 15
LCM(12045,12060) = 9684180

Least Common Multiple (LCM) of 12045 and 12060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12045 and 12060. First we will calculate the prime factors of 12045 and 12060.

Prime Factorization of 12045

Prime Factorization of 12060

Now multiplying the highest exponent prime factors to calculate the LCM of 12045 and 12060.

LCM(12045,12060) = 3² × 5¹ × 11¹ × 73¹ × 2² × 67¹
LCM(12045,12060) = 9684180