What is the Least Common Multiple of 23350 and 23355?

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 23350 and 23355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23350 and 23355, than apply into the LCM equation.

GCF(23350,23355) = 5
LCM(23350,23355) = ( 23350 × 23355) / 5
LCM(23350,23355) = 545339250 / 5
LCM(23350,23355) = 109067850

Least Common Multiple (LCM) of 23350 and 23355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23350 and 23355. First we will calculate the prime factors of 23350 and 23355.

Prime Factorization of 23350

Prime Factorization of 23355

Now multiplying the highest exponent prime factors to calculate the LCM of 23350 and 23355.

LCM(23350,23355) = 2¹ × 5² × 467¹ × 3³ × 173¹
LCM(23350,23355) = 109067850