What is the Least Common Multiple of 16029 and 16041?

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 16041 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 16041, than apply into the LCM equation.

GCF(16029,16041) = 3
LCM(16029,16041) = ( 16029 × 16041) / 3
LCM(16029,16041) = 257121189 / 3
LCM(16029,16041) = 85707063

Least Common Multiple (LCM) of 16029 and 16041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16029 and 16041. First we will calculate the prime factors of 16029 and 16041.

Prime Factorization of 16029

Prime Factorization of 16041

Now multiplying the highest exponent prime factors to calculate the LCM of 16029 and 16041.

LCM(16029,16041) = 3² × 13¹ × 137¹ × 5347¹
LCM(16029,16041) = 85707063