What is the Least Common Multiple of 15889 and 15906?

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 15889 and 15906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15889 and 15906, than apply into the LCM equation.

GCF(15889,15906) = 1
LCM(15889,15906) = ( 15889 × 15906) / 1
LCM(15889,15906) = 252730434 / 1
LCM(15889,15906) = 252730434

Least Common Multiple (LCM) of 15889 and 15906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15889 and 15906. First we will calculate the prime factors of 15889 and 15906.

Prime Factorization of 15889

Prime Factorization of 15906

Now multiplying the highest exponent prime factors to calculate the LCM of 15889 and 15906.

LCM(15889,15906) = 15889¹ × 2¹ × 3¹ × 11¹ × 241¹
LCM(15889,15906) = 252730434