What is the Least Common Multiple of 65191 and 65201?

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 65191 and 65201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65191 and 65201, than apply into the LCM equation.

GCF(65191,65201) = 1
LCM(65191,65201) = ( 65191 × 65201) / 1
LCM(65191,65201) = 4250518391 / 1
LCM(65191,65201) = 4250518391

Least Common Multiple (LCM) of 65191 and 65201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65191 and 65201. First we will calculate the prime factors of 65191 and 65201.

Prime Factorization of 65191

Prime Factorization of 65201

Now multiplying the highest exponent prime factors to calculate the LCM of 65191 and 65201.

LCM(65191,65201) = 7¹ × 67¹ × 139¹ × 113¹ × 577¹
LCM(65191,65201) = 4250518391