What is the Least Common Multiple of 16284 and 16304?

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 16304 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 16304, than apply into the LCM equation.

GCF(16284,16304) = 4
LCM(16284,16304) = ( 16284 × 16304) / 4
LCM(16284,16304) = 265494336 / 4
LCM(16284,16304) = 66373584

Least Common Multiple (LCM) of 16284 and 16304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16284 and 16304. First we will calculate the prime factors of 16284 and 16304.

Prime Factorization of 16284

Prime Factorization of 16304

Now multiplying the highest exponent prime factors to calculate the LCM of 16284 and 16304.

LCM(16284,16304) = 2⁴ × 3¹ × 23¹ × 59¹ × 1019¹
LCM(16284,16304) = 66373584