What is the Least Common Multiple of 12285 and 12295?

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 12295 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 12295, than apply into the LCM equation.

GCF(12285,12295) = 5
LCM(12285,12295) = ( 12285 × 12295) / 5
LCM(12285,12295) = 151044075 / 5
LCM(12285,12295) = 30208815

Least Common Multiple (LCM) of 12285 and 12295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12285 and 12295. First we will calculate the prime factors of 12285 and 12295.

Prime Factorization of 12285

Prime Factorization of 12295

Now multiplying the highest exponent prime factors to calculate the LCM of 12285 and 12295.

LCM(12285,12295) = 3³ × 5¹ × 7¹ × 13¹ × 2459¹
LCM(12285,12295) = 30208815