What is the Least Common Multiple of 10020 and 10035?

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 10020 and 10035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10020 and 10035, than apply into the LCM equation.

GCF(10020,10035) = 15
LCM(10020,10035) = ( 10020 × 10035) / 15
LCM(10020,10035) = 100550700 / 15
LCM(10020,10035) = 6703380

Least Common Multiple (LCM) of 10020 and 10035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10020 and 10035. First we will calculate the prime factors of 10020 and 10035.

Prime Factorization of 10020

Prime Factorization of 10035

Now multiplying the highest exponent prime factors to calculate the LCM of 10020 and 10035.

LCM(10020,10035) = 2² × 3² × 5¹ × 167¹ × 223¹
LCM(10020,10035) = 6703380