What is the Least Common Multiple of 16029 and 16038?

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 16038 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 16038, than apply into the LCM equation.

GCF(16029,16038) = 9
LCM(16029,16038) = ( 16029 × 16038) / 9
LCM(16029,16038) = 257073102 / 9
LCM(16029,16038) = 28563678

Least Common Multiple (LCM) of 16029 and 16038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16029 and 16038. First we will calculate the prime factors of 16029 and 16038.

Prime Factorization of 16029

Prime Factorization of 16038

Now multiplying the highest exponent prime factors to calculate the LCM of 16029 and 16038.

LCM(16029,16038) = 3⁶ × 13¹ × 137¹ × 2¹ × 11¹
LCM(16029,16038) = 28563678