What is the Least Common Multiple of 12282 and 12291?

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 12282 and 12291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12282 and 12291, than apply into the LCM equation.

GCF(12282,12291) = 3
LCM(12282,12291) = ( 12282 × 12291) / 3
LCM(12282,12291) = 150958062 / 3
LCM(12282,12291) = 50319354

Least Common Multiple (LCM) of 12282 and 12291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12282 and 12291. First we will calculate the prime factors of 12282 and 12291.

Prime Factorization of 12282

Prime Factorization of 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 12282 and 12291.

LCM(12282,12291) = 2¹ × 3¹ × 23¹ × 89¹ × 17¹ × 241¹
LCM(12282,12291) = 50319354