What is the Least Common Multiple of 41256 and 41274?

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 41256 and 41274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41256 and 41274, than apply into the LCM equation.

GCF(41256,41274) = 18
LCM(41256,41274) = ( 41256 × 41274) / 18
LCM(41256,41274) = 1702800144 / 18
LCM(41256,41274) = 94600008

Least Common Multiple (LCM) of 41256 and 41274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41256 and 41274. First we will calculate the prime factors of 41256 and 41274.

Prime Factorization of 41256

Prime Factorization of 41274

Now multiplying the highest exponent prime factors to calculate the LCM of 41256 and 41274.

LCM(41256,41274) = 2³ × 3³ × 191¹ × 2293¹
LCM(41256,41274) = 94600008