What is the Least Common Multiple of 32004 and 32020?

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 32004 and 32020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32004 and 32020, than apply into the LCM equation.

GCF(32004,32020) = 4
LCM(32004,32020) = ( 32004 × 32020) / 4
LCM(32004,32020) = 1024768080 / 4
LCM(32004,32020) = 256192020

Least Common Multiple (LCM) of 32004 and 32020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32004 and 32020. First we will calculate the prime factors of 32004 and 32020.

Prime Factorization of 32004

Prime Factorization of 32020

Now multiplying the highest exponent prime factors to calculate the LCM of 32004 and 32020.

LCM(32004,32020) = 2² × 3² × 7¹ × 127¹ × 5¹ × 1601¹
LCM(32004,32020) = 256192020