What is the Least Common Multiple of 12090 and 12094?

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 12090 and 12094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12090 and 12094, than apply into the LCM equation.

GCF(12090,12094) = 2
LCM(12090,12094) = ( 12090 × 12094) / 2
LCM(12090,12094) = 146216460 / 2
LCM(12090,12094) = 73108230

Least Common Multiple (LCM) of 12090 and 12094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12090 and 12094. First we will calculate the prime factors of 12090 and 12094.

Prime Factorization of 12090

Prime Factorization of 12094

Now multiplying the highest exponent prime factors to calculate the LCM of 12090 and 12094.

LCM(12090,12094) = 2¹ × 3¹ × 5¹ × 13¹ × 31¹ × 6047¹
LCM(12090,12094) = 73108230