What is the Least Common Multiple of 22380 and 22396?

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 22396 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 22396, than apply into the LCM equation.

GCF(22380,22396) = 4
LCM(22380,22396) = ( 22380 × 22396) / 4
LCM(22380,22396) = 501222480 / 4
LCM(22380,22396) = 125305620

Least Common Multiple (LCM) of 22380 and 22396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22380 and 22396. First we will calculate the prime factors of 22380 and 22396.

Prime Factorization of 22380

Prime Factorization of 22396

Now multiplying the highest exponent prime factors to calculate the LCM of 22380 and 22396.

LCM(22380,22396) = 2² × 3¹ × 5¹ × 373¹ × 11¹ × 509¹
LCM(22380,22396) = 125305620