What is the Least Common Multiple of 65233 and 65251?

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 65233 and 65251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65233 and 65251, than apply into the LCM equation.

GCF(65233,65251) = 1
LCM(65233,65251) = ( 65233 × 65251) / 1
LCM(65233,65251) = 4256518483 / 1
LCM(65233,65251) = 4256518483

Least Common Multiple (LCM) of 65233 and 65251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65233 and 65251. First we will calculate the prime factors of 65233 and 65251.

Prime Factorization of 65233

Prime Factorization of 65251

Now multiplying the highest exponent prime factors to calculate the LCM of 65233 and 65251.

LCM(65233,65251) = 7¹ × 9319¹ × 23¹ × 2837¹
LCM(65233,65251) = 4256518483