What is the Least Common Multiple of 36004 and 36020?

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 36004 and 36020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36004 and 36020, than apply into the LCM equation.

GCF(36004,36020) = 4
LCM(36004,36020) = ( 36004 × 36020) / 4
LCM(36004,36020) = 1296864080 / 4
LCM(36004,36020) = 324216020

Least Common Multiple (LCM) of 36004 and 36020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36004 and 36020. First we will calculate the prime factors of 36004 and 36020.

Prime Factorization of 36004

Prime Factorization of 36020

Now multiplying the highest exponent prime factors to calculate the LCM of 36004 and 36020.

LCM(36004,36020) = 2² × 9001¹ × 5¹ × 1801¹
LCM(36004,36020) = 324216020