What is the Least Common Multiple of 12036 and 12048?

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 12036 and 12048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12036 and 12048, than apply into the LCM equation.

GCF(12036,12048) = 12
LCM(12036,12048) = ( 12036 × 12048) / 12
LCM(12036,12048) = 145009728 / 12
LCM(12036,12048) = 12084144

Least Common Multiple (LCM) of 12036 and 12048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12036 and 12048. First we will calculate the prime factors of 12036 and 12048.

Prime Factorization of 12036

Prime Factorization of 12048

Now multiplying the highest exponent prime factors to calculate the LCM of 12036 and 12048.

LCM(12036,12048) = 2⁴ × 3¹ × 17¹ × 59¹ × 251¹
LCM(12036,12048) = 12084144