What is the Least Common Multiple of 23459 and 23465?

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 23459 and 23465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23459 and 23465, than apply into the LCM equation.

GCF(23459,23465) = 1
LCM(23459,23465) = ( 23459 × 23465) / 1
LCM(23459,23465) = 550465435 / 1
LCM(23459,23465) = 550465435

Least Common Multiple (LCM) of 23459 and 23465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23459 and 23465. First we will calculate the prime factors of 23459 and 23465.

Prime Factorization of 23459

Prime Factorization of 23465

Now multiplying the highest exponent prime factors to calculate the LCM of 23459 and 23465.

LCM(23459,23465) = 23459¹ × 5¹ × 13¹ × 19²
LCM(23459,23465) = 550465435