What is the Least Common Multiple of 65023 and 65041?

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 65023 and 65041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65023 and 65041, than apply into the LCM equation.

GCF(65023,65041) = 1
LCM(65023,65041) = ( 65023 × 65041) / 1
LCM(65023,65041) = 4229160943 / 1
LCM(65023,65041) = 4229160943

Least Common Multiple (LCM) of 65023 and 65041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65023 and 65041. First we will calculate the prime factors of 65023 and 65041.

Prime Factorization of 65023

Prime Factorization of 65041

Now multiplying the highest exponent prime factors to calculate the LCM of 65023 and 65041.

LCM(65023,65041) = 7² × 1327¹ × 193¹ × 337¹
LCM(65023,65041) = 4229160943