What is the Least Common Multiple of 65307 and 65317?

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 65307 and 65317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65307 and 65317, than apply into the LCM equation.

GCF(65307,65317) = 1
LCM(65307,65317) = ( 65307 × 65317) / 1
LCM(65307,65317) = 4265657319 / 1
LCM(65307,65317) = 4265657319

Least Common Multiple (LCM) of 65307 and 65317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65307 and 65317. First we will calculate the prime factors of 65307 and 65317.

Prime Factorization of 65307

Prime Factorization of 65317

Now multiplying the highest exponent prime factors to calculate the LCM of 65307 and 65317.

LCM(65307,65317) = 3¹ × 11¹ × 1979¹ × 7² × 31¹ × 43¹
LCM(65307,65317) = 4265657319