What is the Least Common Multiple of 32134 and 32146?

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 32134 and 32146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32134 and 32146, than apply into the LCM equation.

GCF(32134,32146) = 2
LCM(32134,32146) = ( 32134 × 32146) / 2
LCM(32134,32146) = 1032979564 / 2
LCM(32134,32146) = 516489782

Least Common Multiple (LCM) of 32134 and 32146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32134 and 32146. First we will calculate the prime factors of 32134 and 32146.

Prime Factorization of 32134

Prime Factorization of 32146

Now multiplying the highest exponent prime factors to calculate the LCM of 32134 and 32146.

LCM(32134,32146) = 2¹ × 16067¹ × 16073¹
LCM(32134,32146) = 516489782