What is the Least Common Multiple of 93223 and 93241?

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 93223 and 93241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93223 and 93241, than apply into the LCM equation.

GCF(93223,93241) = 1
LCM(93223,93241) = ( 93223 × 93241) / 1
LCM(93223,93241) = 8692205743 / 1
LCM(93223,93241) = 8692205743

Least Common Multiple (LCM) of 93223 and 93241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93223 and 93241. First we will calculate the prime factors of 93223 and 93241.

Prime Factorization of 93223

Prime Factorization of 93241

Now multiplying the highest exponent prime factors to calculate the LCM of 93223 and 93241.

LCM(93223,93241) = 13¹ × 71¹ × 101¹ × 93241¹
LCM(93223,93241) = 8692205743