What is the Least Common Multiple of 65275 and 65293?

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 65275 and 65293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65275 and 65293, than apply into the LCM equation.

GCF(65275,65293) = 1
LCM(65275,65293) = ( 65275 × 65293) / 1
LCM(65275,65293) = 4262000575 / 1
LCM(65275,65293) = 4262000575

Least Common Multiple (LCM) of 65275 and 65293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65275 and 65293. First we will calculate the prime factors of 65275 and 65293.

Prime Factorization of 65275

Prime Factorization of 65293

Now multiplying the highest exponent prime factors to calculate the LCM of 65275 and 65293.

LCM(65275,65293) = 5² × 7¹ × 373¹ × 65293¹
LCM(65275,65293) = 4262000575