What is the Least Common Multiple of 22104 and 22117?

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 22104 and 22117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22104 and 22117, than apply into the LCM equation.

GCF(22104,22117) = 1
LCM(22104,22117) = ( 22104 × 22117) / 1
LCM(22104,22117) = 488874168 / 1
LCM(22104,22117) = 488874168

Least Common Multiple (LCM) of 22104 and 22117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22104 and 22117. First we will calculate the prime factors of 22104 and 22117.

Prime Factorization of 22104

Prime Factorization of 22117

Now multiplying the highest exponent prime factors to calculate the LCM of 22104 and 22117.

LCM(22104,22117) = 2³ × 3² × 307¹ × 17¹ × 1301¹
LCM(22104,22117) = 488874168