What is the Least Common Multiple of 22378 and 22398?

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 22378 and 22398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22378 and 22398, than apply into the LCM equation.

GCF(22378,22398) = 2
LCM(22378,22398) = ( 22378 × 22398) / 2
LCM(22378,22398) = 501222444 / 2
LCM(22378,22398) = 250611222

Least Common Multiple (LCM) of 22378 and 22398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22378 and 22398. First we will calculate the prime factors of 22378 and 22398.

Prime Factorization of 22378

Prime Factorization of 22398

Now multiplying the highest exponent prime factors to calculate the LCM of 22378 and 22398.

LCM(22378,22398) = 2¹ × 67¹ × 167¹ × 3¹ × 3733¹
LCM(22378,22398) = 250611222