What is the Least Common Multiple of 23505 and 23512?

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 23505 and 23512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23505 and 23512, than apply into the LCM equation.

GCF(23505,23512) = 1
LCM(23505,23512) = ( 23505 × 23512) / 1
LCM(23505,23512) = 552649560 / 1
LCM(23505,23512) = 552649560

Least Common Multiple (LCM) of 23505 and 23512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23505 and 23512. First we will calculate the prime factors of 23505 and 23512.

Prime Factorization of 23505

Prime Factorization of 23512

Now multiplying the highest exponent prime factors to calculate the LCM of 23505 and 23512.

LCM(23505,23512) = 3¹ × 5¹ × 1567¹ × 2³ × 2939¹
LCM(23505,23512) = 552649560