What is the Least Common Multiple of 22368 and 22380?

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 22368 and 22380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22368 and 22380, than apply into the LCM equation.

GCF(22368,22380) = 12
LCM(22368,22380) = ( 22368 × 22380) / 12
LCM(22368,22380) = 500595840 / 12
LCM(22368,22380) = 41716320

Least Common Multiple (LCM) of 22368 and 22380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22368 and 22380. First we will calculate the prime factors of 22368 and 22380.

Prime Factorization of 22368

Prime Factorization of 22380

Now multiplying the highest exponent prime factors to calculate the LCM of 22368 and 22380.

LCM(22368,22380) = 2⁵ × 3¹ × 233¹ × 5¹ × 373¹
LCM(22368,22380) = 41716320