What is the Least Common Multiple of 94221 and 94233?

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 94221 and 94233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94221 and 94233, than apply into the LCM equation.

GCF(94221,94233) = 3
LCM(94221,94233) = ( 94221 × 94233) / 3
LCM(94221,94233) = 8878727493 / 3
LCM(94221,94233) = 2959575831

Least Common Multiple (LCM) of 94221 and 94233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94221 and 94233. First we will calculate the prime factors of 94221 and 94233.

Prime Factorization of 94221

Prime Factorization of 94233

Now multiplying the highest exponent prime factors to calculate the LCM of 94221 and 94233.

LCM(94221,94233) = 3² × 19² × 29¹ × 101¹ × 311¹
LCM(94221,94233) = 2959575831