What is the Least Common Multiple of 32088 and 32102?

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 32102 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 32102, than apply into the LCM equation.

GCF(32088,32102) = 14
LCM(32088,32102) = ( 32088 × 32102) / 14
LCM(32088,32102) = 1030088976 / 14
LCM(32088,32102) = 73577784

Least Common Multiple (LCM) of 32088 and 32102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32088 and 32102. First we will calculate the prime factors of 32088 and 32102.

Prime Factorization of 32088

Prime Factorization of 32102

Now multiplying the highest exponent prime factors to calculate the LCM of 32088 and 32102.

LCM(32088,32102) = 2³ × 3¹ × 7¹ × 191¹ × 2293¹
LCM(32088,32102) = 73577784