What is the Least Common Multiple of 16029 and 16047?

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 16029 and 16047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16029 and 16047, than apply into the LCM equation.

GCF(16029,16047) = 9
LCM(16029,16047) = ( 16029 × 16047) / 9
LCM(16029,16047) = 257217363 / 9
LCM(16029,16047) = 28579707

Least Common Multiple (LCM) of 16029 and 16047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16029 and 16047. First we will calculate the prime factors of 16029 and 16047.

Prime Factorization of 16029

Prime Factorization of 16047

Now multiplying the highest exponent prime factors to calculate the LCM of 16029 and 16047.

LCM(16029,16047) = 3² × 13¹ × 137¹ × 1783¹
LCM(16029,16047) = 28579707