What is the Least Common Multiple of 22815 and 22835?

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 22815 and 22835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22815 and 22835, than apply into the LCM equation.

GCF(22815,22835) = 5
LCM(22815,22835) = ( 22815 × 22835) / 5
LCM(22815,22835) = 520980525 / 5
LCM(22815,22835) = 104196105

Least Common Multiple (LCM) of 22815 and 22835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22815 and 22835. First we will calculate the prime factors of 22815 and 22835.

Prime Factorization of 22815

Prime Factorization of 22835

Now multiplying the highest exponent prime factors to calculate the LCM of 22815 and 22835.

LCM(22815,22835) = 3³ × 5¹ × 13² × 4567¹
LCM(22815,22835) = 104196105