What is the Least Common Multiple of 22278 and 22297?

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 22297 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 22297, than apply into the LCM equation.

GCF(22278,22297) = 1
LCM(22278,22297) = ( 22278 × 22297) / 1
LCM(22278,22297) = 496732566 / 1
LCM(22278,22297) = 496732566

Least Common Multiple (LCM) of 22278 and 22297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22278 and 22297. First we will calculate the prime factors of 22278 and 22297.

Prime Factorization of 22278

Prime Factorization of 22297

Now multiplying the highest exponent prime factors to calculate the LCM of 22278 and 22297.

LCM(22278,22297) = 2¹ × 3¹ × 47¹ × 79¹ × 11¹ × 2027¹
LCM(22278,22297) = 496732566