What is the Least Common Multiple of 15443 and 15462?

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 15443 and 15462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15443 and 15462, than apply into the LCM equation.

GCF(15443,15462) = 1
LCM(15443,15462) = ( 15443 × 15462) / 1
LCM(15443,15462) = 238779666 / 1
LCM(15443,15462) = 238779666

Least Common Multiple (LCM) of 15443 and 15462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15443 and 15462. First we will calculate the prime factors of 15443 and 15462.

Prime Factorization of 15443

Prime Factorization of 15462

Now multiplying the highest exponent prime factors to calculate the LCM of 15443 and 15462.

LCM(15443,15462) = 15443¹ × 2¹ × 3² × 859¹
LCM(15443,15462) = 238779666