What is the Least Common Multiple of 16302 and 16312?

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 16302 and 16312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16302 and 16312, than apply into the LCM equation.

GCF(16302,16312) = 2
LCM(16302,16312) = ( 16302 × 16312) / 2
LCM(16302,16312) = 265918224 / 2
LCM(16302,16312) = 132959112

Least Common Multiple (LCM) of 16302 and 16312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16302 and 16312. First we will calculate the prime factors of 16302 and 16312.

Prime Factorization of 16302

Prime Factorization of 16312

Now multiplying the highest exponent prime factors to calculate the LCM of 16302 and 16312.

LCM(16302,16312) = 2³ × 3¹ × 11¹ × 13¹ × 19¹ × 2039¹
LCM(16302,16312) = 132959112