What is the Least Common Multiple of 32094 and 32103?

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 32094 and 32103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32094 and 32103, than apply into the LCM equation.

GCF(32094,32103) = 9
LCM(32094,32103) = ( 32094 × 32103) / 9
LCM(32094,32103) = 1030313682 / 9
LCM(32094,32103) = 114479298

Least Common Multiple (LCM) of 32094 and 32103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32094 and 32103. First we will calculate the prime factors of 32094 and 32103.

Prime Factorization of 32094

Prime Factorization of 32103

Now multiplying the highest exponent prime factors to calculate the LCM of 32094 and 32103.

LCM(32094,32103) = 2¹ × 3³ × 1783¹ × 29¹ × 41¹
LCM(32094,32103) = 114479298