What is the Least Common Multiple of 12256 and 12270?

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 12256 and 12270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12256 and 12270, than apply into the LCM equation.

GCF(12256,12270) = 2
LCM(12256,12270) = ( 12256 × 12270) / 2
LCM(12256,12270) = 150381120 / 2
LCM(12256,12270) = 75190560

Least Common Multiple (LCM) of 12256 and 12270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12256 and 12270. First we will calculate the prime factors of 12256 and 12270.

Prime Factorization of 12256

Prime Factorization of 12270

Now multiplying the highest exponent prime factors to calculate the LCM of 12256 and 12270.

LCM(12256,12270) = 2⁵ × 383¹ × 3¹ × 5¹ × 409¹
LCM(12256,12270) = 75190560