What is the Least Common Multiple of 22160 and 22164?

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 22164 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 22164, than apply into the LCM equation.

GCF(22160,22164) = 4
LCM(22160,22164) = ( 22160 × 22164) / 4
LCM(22160,22164) = 491154240 / 4
LCM(22160,22164) = 122788560

Least Common Multiple (LCM) of 22160 and 22164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22160 and 22164. First we will calculate the prime factors of 22160 and 22164.

Prime Factorization of 22160

Prime Factorization of 22164

Now multiplying the highest exponent prime factors to calculate the LCM of 22160 and 22164.

LCM(22160,22164) = 2⁴ × 5¹ × 277¹ × 3¹ × 1847¹
LCM(22160,22164) = 122788560