What is the Least Common Multiple of 22176 and 22192?

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 22192 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 22192, than apply into the LCM equation.

GCF(22176,22192) = 16
LCM(22176,22192) = ( 22176 × 22192) / 16
LCM(22176,22192) = 492129792 / 16
LCM(22176,22192) = 30758112

Least Common Multiple (LCM) of 22176 and 22192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22176 and 22192. First we will calculate the prime factors of 22176 and 22192.

Prime Factorization of 22176

Prime Factorization of 22192

Now multiplying the highest exponent prime factors to calculate the LCM of 22176 and 22192.

LCM(22176,22192) = 2⁵ × 3² × 7¹ × 11¹ × 19¹ × 73¹
LCM(22176,22192) = 30758112