What is the Least Common Multiple of 23230 and 23245?

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 23230 and 23245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23230 and 23245, than apply into the LCM equation.

GCF(23230,23245) = 5
LCM(23230,23245) = ( 23230 × 23245) / 5
LCM(23230,23245) = 539981350 / 5
LCM(23230,23245) = 107996270

Least Common Multiple (LCM) of 23230 and 23245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23230 and 23245. First we will calculate the prime factors of 23230 and 23245.

Prime Factorization of 23230

Prime Factorization of 23245

Now multiplying the highest exponent prime factors to calculate the LCM of 23230 and 23245.

LCM(23230,23245) = 2¹ × 5¹ × 23¹ × 101¹ × 4649¹
LCM(23230,23245) = 107996270