What is the Least Common Multiple of 22298 and 22308?

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 22298 and 22308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22298 and 22308, than apply into the LCM equation.

GCF(22298,22308) = 2
LCM(22298,22308) = ( 22298 × 22308) / 2
LCM(22298,22308) = 497423784 / 2
LCM(22298,22308) = 248711892

Least Common Multiple (LCM) of 22298 and 22308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22298 and 22308. First we will calculate the prime factors of 22298 and 22308.

Prime Factorization of 22298

Prime Factorization of 22308

Now multiplying the highest exponent prime factors to calculate the LCM of 22298 and 22308.

LCM(22298,22308) = 2² × 11149¹ × 3¹ × 11¹ × 13²
LCM(22298,22308) = 248711892