What is the Least Common Multiple of 16020 and 16035?

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 16020 and 16035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16020 and 16035, than apply into the LCM equation.

GCF(16020,16035) = 15
LCM(16020,16035) = ( 16020 × 16035) / 15
LCM(16020,16035) = 256880700 / 15
LCM(16020,16035) = 17125380

Least Common Multiple (LCM) of 16020 and 16035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16020 and 16035. First we will calculate the prime factors of 16020 and 16035.

Prime Factorization of 16020

Prime Factorization of 16035

Now multiplying the highest exponent prime factors to calculate the LCM of 16020 and 16035.

LCM(16020,16035) = 2² × 3² × 5¹ × 89¹ × 1069¹
LCM(16020,16035) = 17125380