What is the Least Common Multiple of 32138 and 32154?

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 32154 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 32154, than apply into the LCM equation.

GCF(32138,32154) = 2
LCM(32138,32154) = ( 32138 × 32154) / 2
LCM(32138,32154) = 1033365252 / 2
LCM(32138,32154) = 516682626

Least Common Multiple (LCM) of 32138 and 32154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32138 and 32154. First we will calculate the prime factors of 32138 and 32154.

Prime Factorization of 32138

Prime Factorization of 32154

Now multiplying the highest exponent prime factors to calculate the LCM of 32138 and 32154.

LCM(32138,32154) = 2¹ × 16069¹ × 3¹ × 23¹ × 233¹
LCM(32138,32154) = 516682626