What is the Least Common Multiple of 16239 and 16259?

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 16239 and 16259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16239 and 16259, than apply into the LCM equation.

GCF(16239,16259) = 1
LCM(16239,16259) = ( 16239 × 16259) / 1
LCM(16239,16259) = 264029901 / 1
LCM(16239,16259) = 264029901

Least Common Multiple (LCM) of 16239 and 16259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16239 and 16259. First we will calculate the prime factors of 16239 and 16259.

Prime Factorization of 16239

Prime Factorization of 16259

Now multiplying the highest exponent prime factors to calculate the LCM of 16239 and 16259.

LCM(16239,16259) = 3¹ × 5413¹ × 71¹ × 229¹
LCM(16239,16259) = 264029901