What is the Least Common Multiple of 41239 and 41256?

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 41239 and 41256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41239 and 41256, than apply into the LCM equation.

GCF(41239,41256) = 1
LCM(41239,41256) = ( 41239 × 41256) / 1
LCM(41239,41256) = 1701356184 / 1
LCM(41239,41256) = 1701356184

Least Common Multiple (LCM) of 41239 and 41256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41239 and 41256. First we will calculate the prime factors of 41239 and 41256.

Prime Factorization of 41239

Prime Factorization of 41256

Now multiplying the highest exponent prime factors to calculate the LCM of 41239 and 41256.

LCM(41239,41256) = 11¹ × 23¹ × 163¹ × 2³ × 3³ × 191¹
LCM(41239,41256) = 1701356184