What is the Least Common Multiple of 16284 and 16302?

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 16284 and 16302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16284 and 16302, than apply into the LCM equation.

GCF(16284,16302) = 6
LCM(16284,16302) = ( 16284 × 16302) / 6
LCM(16284,16302) = 265461768 / 6
LCM(16284,16302) = 44243628

Least Common Multiple (LCM) of 16284 and 16302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16284 and 16302. First we will calculate the prime factors of 16284 and 16302.

Prime Factorization of 16284

Prime Factorization of 16302

Now multiplying the highest exponent prime factors to calculate the LCM of 16284 and 16302.

LCM(16284,16302) = 2² × 3¹ × 23¹ × 59¹ × 11¹ × 13¹ × 19¹
LCM(16284,16302) = 44243628