What is the Least Common Multiple of 8256 and 8275?

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 8256 and 8275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8256 and 8275, than apply into the LCM equation.

GCF(8256,8275) = 1
LCM(8256,8275) = ( 8256 × 8275) / 1
LCM(8256,8275) = 68318400 / 1
LCM(8256,8275) = 68318400

Least Common Multiple (LCM) of 8256 and 8275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8256 and 8275. First we will calculate the prime factors of 8256 and 8275.

Prime Factorization of 8256

Prime Factorization of 8275

Now multiplying the highest exponent prime factors to calculate the LCM of 8256 and 8275.

LCM(8256,8275) = 2⁶ × 3¹ × 43¹ × 5² × 331¹
LCM(8256,8275) = 68318400