What is the Least Common Multiple of 22278 and 22286?

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 22278 and 22286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22278 and 22286, than apply into the LCM equation.

GCF(22278,22286) = 2
LCM(22278,22286) = ( 22278 × 22286) / 2
LCM(22278,22286) = 496487508 / 2
LCM(22278,22286) = 248243754

Least Common Multiple (LCM) of 22278 and 22286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22278 and 22286. First we will calculate the prime factors of 22278 and 22286.

Prime Factorization of 22278

Prime Factorization of 22286

Now multiplying the highest exponent prime factors to calculate the LCM of 22278 and 22286.

LCM(22278,22286) = 2¹ × 3¹ × 47¹ × 79¹ × 11¹ × 1013¹
LCM(22278,22286) = 248243754