What is the Least Common Multiple of 12288 and 12305?

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 12288 and 12305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12288 and 12305, than apply into the LCM equation.

GCF(12288,12305) = 1
LCM(12288,12305) = ( 12288 × 12305) / 1
LCM(12288,12305) = 151203840 / 1
LCM(12288,12305) = 151203840

Least Common Multiple (LCM) of 12288 and 12305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12288 and 12305. First we will calculate the prime factors of 12288 and 12305.

Prime Factorization of 12288

Prime Factorization of 12305

Now multiplying the highest exponent prime factors to calculate the LCM of 12288 and 12305.

LCM(12288,12305) = 2¹² × 3¹ × 5¹ × 23¹ × 107¹
LCM(12288,12305) = 151203840