What is the Least Common Multiple of 12069 and 12078?

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 12069 and 12078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12069 and 12078, than apply into the LCM equation.

GCF(12069,12078) = 9
LCM(12069,12078) = ( 12069 × 12078) / 9
LCM(12069,12078) = 145769382 / 9
LCM(12069,12078) = 16196598

Least Common Multiple (LCM) of 12069 and 12078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12069 and 12078. First we will calculate the prime factors of 12069 and 12078.

Prime Factorization of 12069

Prime Factorization of 12078

Now multiplying the highest exponent prime factors to calculate the LCM of 12069 and 12078.

LCM(12069,12078) = 3⁴ × 149¹ × 2¹ × 11¹ × 61¹
LCM(12069,12078) = 16196598