What is the Least Common Multiple of 22176 and 22195?

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 22176 and 22195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22176 and 22195, than apply into the LCM equation.

GCF(22176,22195) = 1
LCM(22176,22195) = ( 22176 × 22195) / 1
LCM(22176,22195) = 492196320 / 1
LCM(22176,22195) = 492196320

Least Common Multiple (LCM) of 22176 and 22195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22176 and 22195. First we will calculate the prime factors of 22176 and 22195.

Prime Factorization of 22176

Prime Factorization of 22195

Now multiplying the highest exponent prime factors to calculate the LCM of 22176 and 22195.

LCM(22176,22195) = 2⁵ × 3² × 7¹ × 11¹ × 5¹ × 23¹ × 193¹
LCM(22176,22195) = 492196320