What is the Least Common Multiple of 16264 and 16283?

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 16264 and 16283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16264 and 16283, than apply into the LCM equation.

GCF(16264,16283) = 19
LCM(16264,16283) = ( 16264 × 16283) / 19
LCM(16264,16283) = 264826712 / 19
LCM(16264,16283) = 13938248

Least Common Multiple (LCM) of 16264 and 16283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16264 and 16283. First we will calculate the prime factors of 16264 and 16283.

Prime Factorization of 16264

Prime Factorization of 16283

Now multiplying the highest exponent prime factors to calculate the LCM of 16264 and 16283.

LCM(16264,16283) = 2³ × 19¹ × 107¹ × 857¹
LCM(16264,16283) = 13938248