What is the Least Common Multiple of 32129 and 32148?

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 32129 and 32148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32129 and 32148, than apply into the LCM equation.

GCF(32129,32148) = 19
LCM(32129,32148) = ( 32129 × 32148) / 19
LCM(32129,32148) = 1032883092 / 19
LCM(32129,32148) = 54362268

Least Common Multiple (LCM) of 32129 and 32148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32129 and 32148. First we will calculate the prime factors of 32129 and 32148.

Prime Factorization of 32129

Prime Factorization of 32148

Now multiplying the highest exponent prime factors to calculate the LCM of 32129 and 32148.

LCM(32129,32148) = 19² × 89¹ × 2² × 3² × 47¹
LCM(32129,32148) = 54362268