What is the Least Common Multiple of 16284 and 16300?

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 16300 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 16300, than apply into the LCM equation.

GCF(16284,16300) = 4
LCM(16284,16300) = ( 16284 × 16300) / 4
LCM(16284,16300) = 265429200 / 4
LCM(16284,16300) = 66357300

Least Common Multiple (LCM) of 16284 and 16300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16284 and 16300. First we will calculate the prime factors of 16284 and 16300.

Prime Factorization of 16284

Prime Factorization of 16300

Now multiplying the highest exponent prime factors to calculate the LCM of 16284 and 16300.

LCM(16284,16300) = 2² × 3¹ × 23¹ × 59¹ × 5² × 163¹
LCM(16284,16300) = 66357300