What is the Least Common Multiple of 29223 and 29241?

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 29223 and 29241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29223 and 29241, than apply into the LCM equation.

GCF(29223,29241) = 9
LCM(29223,29241) = ( 29223 × 29241) / 9
LCM(29223,29241) = 854509743 / 9
LCM(29223,29241) = 94945527

Least Common Multiple (LCM) of 29223 and 29241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29223 and 29241. First we will calculate the prime factors of 29223 and 29241.

Prime Factorization of 29223

Prime Factorization of 29241

Now multiplying the highest exponent prime factors to calculate the LCM of 29223 and 29241.

LCM(29223,29241) = 3⁴ × 17¹ × 191¹ × 19²
LCM(29223,29241) = 94945527