What is the Least Common Multiple of 22160 and 22176?

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 22160 and 22176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22160 and 22176, than apply into the LCM equation.

GCF(22160,22176) = 16
LCM(22160,22176) = ( 22160 × 22176) / 16
LCM(22160,22176) = 491420160 / 16
LCM(22160,22176) = 30713760

Least Common Multiple (LCM) of 22160 and 22176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22160 and 22176. First we will calculate the prime factors of 22160 and 22176.

Prime Factorization of 22160

Prime Factorization of 22176

Now multiplying the highest exponent prime factors to calculate the LCM of 22160 and 22176.

LCM(22160,22176) = 2⁵ × 5¹ × 277¹ × 3² × 7¹ × 11¹
LCM(22160,22176) = 30713760