What is the Least Common Multiple of 23496 and 23505?

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 23496 and 23505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23496 and 23505, than apply into the LCM equation.

GCF(23496,23505) = 3
LCM(23496,23505) = ( 23496 × 23505) / 3
LCM(23496,23505) = 552273480 / 3
LCM(23496,23505) = 184091160

Least Common Multiple (LCM) of 23496 and 23505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23496 and 23505. First we will calculate the prime factors of 23496 and 23505.

Prime Factorization of 23496

Prime Factorization of 23505

Now multiplying the highest exponent prime factors to calculate the LCM of 23496 and 23505.

LCM(23496,23505) = 2³ × 3¹ × 11¹ × 89¹ × 5¹ × 1567¹
LCM(23496,23505) = 184091160