What is the Least Common Multiple of 32148 and 32166?

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 32148 and 32166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32148 and 32166, than apply into the LCM equation.

GCF(32148,32166) = 18
LCM(32148,32166) = ( 32148 × 32166) / 18
LCM(32148,32166) = 1034072568 / 18
LCM(32148,32166) = 57448476

Least Common Multiple (LCM) of 32148 and 32166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32148 and 32166. First we will calculate the prime factors of 32148 and 32166.

Prime Factorization of 32148

Prime Factorization of 32166

Now multiplying the highest exponent prime factors to calculate the LCM of 32148 and 32166.

LCM(32148,32166) = 2² × 3² × 19¹ × 47¹ × 1787¹
LCM(32148,32166) = 57448476