What is the Least Common Multiple of 32088 and 32094?

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 32088 and 32094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32088 and 32094, than apply into the LCM equation.

GCF(32088,32094) = 6
LCM(32088,32094) = ( 32088 × 32094) / 6
LCM(32088,32094) = 1029832272 / 6
LCM(32088,32094) = 171638712

Least Common Multiple (LCM) of 32088 and 32094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32088 and 32094. First we will calculate the prime factors of 32088 and 32094.

Prime Factorization of 32088

Prime Factorization of 32094

Now multiplying the highest exponent prime factors to calculate the LCM of 32088 and 32094.

LCM(32088,32094) = 2³ × 3² × 7¹ × 191¹ × 1783¹
LCM(32088,32094) = 171638712