What is the Least Common Multiple of 65257 and 65263?

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 65257 and 65263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65257 and 65263, than apply into the LCM equation.

GCF(65257,65263) = 1
LCM(65257,65263) = ( 65257 × 65263) / 1
LCM(65257,65263) = 4258867591 / 1
LCM(65257,65263) = 4258867591

Least Common Multiple (LCM) of 65257 and 65263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65257 and 65263. First we will calculate the prime factors of 65257 and 65263.

Prime Factorization of 65257

Prime Factorization of 65263

Now multiplying the highest exponent prime factors to calculate the LCM of 65257 and 65263.

LCM(65257,65263) = 65257¹ × 11¹ × 17¹ × 349¹
LCM(65257,65263) = 4258867591