What is the Least Common Multiple of 65909 and 65923?

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 65909 and 65923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65909 and 65923, than apply into the LCM equation.

GCF(65909,65923) = 1
LCM(65909,65923) = ( 65909 × 65923) / 1
LCM(65909,65923) = 4344919007 / 1
LCM(65909,65923) = 4344919007

Least Common Multiple (LCM) of 65909 and 65923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65909 and 65923. First we will calculate the prime factors of 65909 and 65923.

Prime Factorization of 65909

Prime Factorization of 65923

Now multiplying the highest exponent prime factors to calculate the LCM of 65909 and 65923.

LCM(65909,65923) = 17¹ × 3877¹ × 11¹ × 13¹ × 461¹
LCM(65909,65923) = 4344919007