What is the Least Common Multiple of 32138 and 32156?

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 32138 and 32156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32138 and 32156, than apply into the LCM equation.

GCF(32138,32156) = 2
LCM(32138,32156) = ( 32138 × 32156) / 2
LCM(32138,32156) = 1033429528 / 2
LCM(32138,32156) = 516714764

Least Common Multiple (LCM) of 32138 and 32156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32138 and 32156. First we will calculate the prime factors of 32138 and 32156.

Prime Factorization of 32138

Prime Factorization of 32156

Now multiplying the highest exponent prime factors to calculate the LCM of 32138 and 32156.

LCM(32138,32156) = 2² × 16069¹ × 8039¹
LCM(32138,32156) = 516714764