What is the Least Common Multiple of 2016 and 2035?

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 2016 and 2035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2016 and 2035, than apply into the LCM equation.

GCF(2016,2035) = 1
LCM(2016,2035) = ( 2016 × 2035) / 1
LCM(2016,2035) = 4102560 / 1
LCM(2016,2035) = 4102560

Least Common Multiple (LCM) of 2016 and 2035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2016 and 2035. First we will calculate the prime factors of 2016 and 2035.

Prime Factorization of 2016

Prime Factorization of 2035

Now multiplying the highest exponent prime factors to calculate the LCM of 2016 and 2035.

LCM(2016,2035) = 2⁵ × 3² × 7¹ × 5¹ × 11¹ × 37¹
LCM(2016,2035) = 4102560