What is the Least Common Multiple of 65305 and 65311?

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 65305 and 65311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65305 and 65311, than apply into the LCM equation.

GCF(65305,65311) = 1
LCM(65305,65311) = ( 65305 × 65311) / 1
LCM(65305,65311) = 4265134855 / 1
LCM(65305,65311) = 4265134855

Least Common Multiple (LCM) of 65305 and 65311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65305 and 65311. First we will calculate the prime factors of 65305 and 65311.

Prime Factorization of 65305

Prime Factorization of 65311

Now multiplying the highest exponent prime factors to calculate the LCM of 65305 and 65311.

LCM(65305,65311) = 5¹ × 37¹ × 353¹ × 241¹ × 271¹
LCM(65305,65311) = 4265134855