What is the Least Common Multiple of 15606 and 15623?

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 15606 and 15623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15606 and 15623, than apply into the LCM equation.

GCF(15606,15623) = 17
LCM(15606,15623) = ( 15606 × 15623) / 17
LCM(15606,15623) = 243812538 / 17
LCM(15606,15623) = 14341914

Least Common Multiple (LCM) of 15606 and 15623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15606 and 15623. First we will calculate the prime factors of 15606 and 15623.

Prime Factorization of 15606

Prime Factorization of 15623

Now multiplying the highest exponent prime factors to calculate the LCM of 15606 and 15623.

LCM(15606,15623) = 2¹ × 3³ × 17² × 919¹
LCM(15606,15623) = 14341914