What is the Least Common Multiple of 23439 and 23453?

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 23439 and 23453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23439 and 23453, than apply into the LCM equation.

GCF(23439,23453) = 1
LCM(23439,23453) = ( 23439 × 23453) / 1
LCM(23439,23453) = 549714867 / 1
LCM(23439,23453) = 549714867

Least Common Multiple (LCM) of 23439 and 23453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23439 and 23453. First we will calculate the prime factors of 23439 and 23453.

Prime Factorization of 23439

Prime Factorization of 23453

Now multiplying the highest exponent prime factors to calculate the LCM of 23439 and 23453.

LCM(23439,23453) = 3¹ × 13¹ × 601¹ × 47¹ × 499¹
LCM(23439,23453) = 549714867