What is the Least Common Multiple of 23229 and 23244?

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 23229 and 23244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23229 and 23244, than apply into the LCM equation.

GCF(23229,23244) = 3
LCM(23229,23244) = ( 23229 × 23244) / 3
LCM(23229,23244) = 539934876 / 3
LCM(23229,23244) = 179978292

Least Common Multiple (LCM) of 23229 and 23244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23229 and 23244. First we will calculate the prime factors of 23229 and 23244.

Prime Factorization of 23229

Prime Factorization of 23244

Now multiplying the highest exponent prime factors to calculate the LCM of 23229 and 23244.

LCM(23229,23244) = 3² × 29¹ × 89¹ × 2² × 13¹ × 149¹
LCM(23229,23244) = 179978292