What is the Least Common Multiple of 15413 and 15423?

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 15413 and 15423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15413 and 15423, than apply into the LCM equation.

GCF(15413,15423) = 1
LCM(15413,15423) = ( 15413 × 15423) / 1
LCM(15413,15423) = 237714699 / 1
LCM(15413,15423) = 237714699

Least Common Multiple (LCM) of 15413 and 15423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15413 and 15423. First we will calculate the prime factors of 15413 and 15423.

Prime Factorization of 15413

Prime Factorization of 15423

Now multiplying the highest exponent prime factors to calculate the LCM of 15413 and 15423.

LCM(15413,15423) = 15413¹ × 3¹ × 53¹ × 97¹
LCM(15413,15423) = 237714699