What is the Least Common Multiple of 41850 and 41855?

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 41850 and 41855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41850 and 41855, than apply into the LCM equation.

GCF(41850,41855) = 5
LCM(41850,41855) = ( 41850 × 41855) / 5
LCM(41850,41855) = 1751631750 / 5
LCM(41850,41855) = 350326350

Least Common Multiple (LCM) of 41850 and 41855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41850 and 41855. First we will calculate the prime factors of 41850 and 41855.

Prime Factorization of 41850

Prime Factorization of 41855

Now multiplying the highest exponent prime factors to calculate the LCM of 41850 and 41855.

LCM(41850,41855) = 2¹ × 3³ × 5² × 31¹ × 11¹ × 761¹
LCM(41850,41855) = 350326350