What is the Least Common Multiple of 22440 and 22445?

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 22440 and 22445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22440 and 22445, than apply into the LCM equation.

GCF(22440,22445) = 5
LCM(22440,22445) = ( 22440 × 22445) / 5
LCM(22440,22445) = 503665800 / 5
LCM(22440,22445) = 100733160

Least Common Multiple (LCM) of 22440 and 22445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22440 and 22445. First we will calculate the prime factors of 22440 and 22445.

Prime Factorization of 22440

Prime Factorization of 22445

Now multiplying the highest exponent prime factors to calculate the LCM of 22440 and 22445.

LCM(22440,22445) = 2³ × 3¹ × 5¹ × 11¹ × 17¹ × 67²
LCM(22440,22445) = 100733160