What is the Least Common Multiple of 22380 and 22395?

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 22380 and 22395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22380 and 22395, than apply into the LCM equation.

GCF(22380,22395) = 15
LCM(22380,22395) = ( 22380 × 22395) / 15
LCM(22380,22395) = 501200100 / 15
LCM(22380,22395) = 33413340

Least Common Multiple (LCM) of 22380 and 22395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22380 and 22395. First we will calculate the prime factors of 22380 and 22395.

Prime Factorization of 22380

Prime Factorization of 22395

Now multiplying the highest exponent prime factors to calculate the LCM of 22380 and 22395.

LCM(22380,22395) = 2² × 3¹ × 5¹ × 373¹ × 1493¹
LCM(22380,22395) = 33413340