What is the Least Common Multiple of 22160 and 22167?

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 22167 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 22167, than apply into the LCM equation.

GCF(22160,22167) = 1
LCM(22160,22167) = ( 22160 × 22167) / 1
LCM(22160,22167) = 491220720 / 1
LCM(22160,22167) = 491220720

Least Common Multiple (LCM) of 22160 and 22167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22160 and 22167. First we will calculate the prime factors of 22160 and 22167.

Prime Factorization of 22160

Prime Factorization of 22167

Now multiplying the highest exponent prime factors to calculate the LCM of 22160 and 22167.

LCM(22160,22167) = 2⁴ × 5¹ × 277¹ × 3³ × 821¹
LCM(22160,22167) = 491220720