What is the Least Common Multiple of 12285 and 12298?

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 12285 and 12298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12285 and 12298, than apply into the LCM equation.

GCF(12285,12298) = 13
LCM(12285,12298) = ( 12285 × 12298) / 13
LCM(12285,12298) = 151080930 / 13
LCM(12285,12298) = 11621610

Least Common Multiple (LCM) of 12285 and 12298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12285 and 12298. First we will calculate the prime factors of 12285 and 12298.

Prime Factorization of 12285

Prime Factorization of 12298

Now multiplying the highest exponent prime factors to calculate the LCM of 12285 and 12298.

LCM(12285,12298) = 3³ × 5¹ × 7¹ × 13¹ × 2¹ × 11¹ × 43¹
LCM(12285,12298) = 11621610