What is the Least Common Multiple of 42256 and 42275?

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 42256 and 42275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42256 and 42275, than apply into the LCM equation.

GCF(42256,42275) = 19
LCM(42256,42275) = ( 42256 × 42275) / 19
LCM(42256,42275) = 1786372400 / 19
LCM(42256,42275) = 94019600

Least Common Multiple (LCM) of 42256 and 42275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42256 and 42275. First we will calculate the prime factors of 42256 and 42275.

Prime Factorization of 42256

Prime Factorization of 42275

Now multiplying the highest exponent prime factors to calculate the LCM of 42256 and 42275.

LCM(42256,42275) = 2⁴ × 19¹ × 139¹ × 5² × 89¹
LCM(42256,42275) = 94019600