What is the Least Common Multiple of 41305 and 41311?

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 41305 and 41311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41305 and 41311, than apply into the LCM equation.

GCF(41305,41311) = 1
LCM(41305,41311) = ( 41305 × 41311) / 1
LCM(41305,41311) = 1706350855 / 1
LCM(41305,41311) = 1706350855

Least Common Multiple (LCM) of 41305 and 41311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41305 and 41311. First we will calculate the prime factors of 41305 and 41311.

Prime Factorization of 41305

Prime Factorization of 41311

Now multiplying the highest exponent prime factors to calculate the LCM of 41305 and 41311.

LCM(41305,41311) = 5¹ × 11¹ × 751¹ × 109¹ × 379¹
LCM(41305,41311) = 1706350855