What is the Least Common Multiple of 32226 and 32233?

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 32226 and 32233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32226 and 32233, than apply into the LCM equation.

GCF(32226,32233) = 1
LCM(32226,32233) = ( 32226 × 32233) / 1
LCM(32226,32233) = 1038740658 / 1
LCM(32226,32233) = 1038740658

Least Common Multiple (LCM) of 32226 and 32233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32226 and 32233. First we will calculate the prime factors of 32226 and 32233.

Prime Factorization of 32226

Prime Factorization of 32233

Now multiplying the highest exponent prime factors to calculate the LCM of 32226 and 32233.

LCM(32226,32233) = 2¹ × 3¹ × 41¹ × 131¹ × 32233¹
LCM(32226,32233) = 1038740658