What is the Least Common Multiple of 12072 and 12085?

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 12072 and 12085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12072 and 12085, than apply into the LCM equation.

GCF(12072,12085) = 1
LCM(12072,12085) = ( 12072 × 12085) / 1
LCM(12072,12085) = 145890120 / 1
LCM(12072,12085) = 145890120

Least Common Multiple (LCM) of 12072 and 12085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12072 and 12085. First we will calculate the prime factors of 12072 and 12085.

Prime Factorization of 12072

Prime Factorization of 12085

Now multiplying the highest exponent prime factors to calculate the LCM of 12072 and 12085.

LCM(12072,12085) = 2³ × 3¹ × 503¹ × 5¹ × 2417¹
LCM(12072,12085) = 145890120