What is the Least Common Multiple of 33005 and 33020?

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 33005 and 33020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33005 and 33020, than apply into the LCM equation.

GCF(33005,33020) = 5
LCM(33005,33020) = ( 33005 × 33020) / 5
LCM(33005,33020) = 1089825100 / 5
LCM(33005,33020) = 217965020

Least Common Multiple (LCM) of 33005 and 33020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33005 and 33020. First we will calculate the prime factors of 33005 and 33020.

Prime Factorization of 33005

Prime Factorization of 33020

Now multiplying the highest exponent prime factors to calculate the LCM of 33005 and 33020.

LCM(33005,33020) = 5¹ × 7¹ × 23¹ × 41¹ × 2² × 13¹ × 127¹
LCM(33005,33020) = 217965020