What is the Least Common Multiple of 16035 and 16053?

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 16035 and 16053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16035 and 16053, than apply into the LCM equation.

GCF(16035,16053) = 3
LCM(16035,16053) = ( 16035 × 16053) / 3
LCM(16035,16053) = 257409855 / 3
LCM(16035,16053) = 85803285

Least Common Multiple (LCM) of 16035 and 16053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16035 and 16053. First we will calculate the prime factors of 16035 and 16053.

Prime Factorization of 16035

Prime Factorization of 16053

Now multiplying the highest exponent prime factors to calculate the LCM of 16035 and 16053.

LCM(16035,16053) = 3¹ × 5¹ × 1069¹ × 5351¹
LCM(16035,16053) = 85803285