What is the Least Common Multiple of 23150 and 23155?

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 23150 and 23155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23150 and 23155, than apply into the LCM equation.

GCF(23150,23155) = 5
LCM(23150,23155) = ( 23150 × 23155) / 5
LCM(23150,23155) = 536038250 / 5
LCM(23150,23155) = 107207650

Least Common Multiple (LCM) of 23150 and 23155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23150 and 23155. First we will calculate the prime factors of 23150 and 23155.

Prime Factorization of 23150

Prime Factorization of 23155

Now multiplying the highest exponent prime factors to calculate the LCM of 23150 and 23155.

LCM(23150,23155) = 2¹ × 5² × 463¹ × 11¹ × 421¹
LCM(23150,23155) = 107207650