What is the Least Common Multiple of 65043 and 65061?

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 65043 and 65061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65043 and 65061, than apply into the LCM equation.

GCF(65043,65061) = 9
LCM(65043,65061) = ( 65043 × 65061) / 9
LCM(65043,65061) = 4231762623 / 9
LCM(65043,65061) = 470195847

Least Common Multiple (LCM) of 65043 and 65061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65043 and 65061. First we will calculate the prime factors of 65043 and 65061.

Prime Factorization of 65043

Prime Factorization of 65061

Now multiplying the highest exponent prime factors to calculate the LCM of 65043 and 65061.

LCM(65043,65061) = 3⁴ × 11¹ × 73¹ × 7229¹
LCM(65043,65061) = 470195847