What is the Least Common Multiple of 54005 and 54020?

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 54005 and 54020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54005 and 54020, than apply into the LCM equation.

GCF(54005,54020) = 5
LCM(54005,54020) = ( 54005 × 54020) / 5
LCM(54005,54020) = 2917350100 / 5
LCM(54005,54020) = 583470020

Least Common Multiple (LCM) of 54005 and 54020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54005 and 54020. First we will calculate the prime factors of 54005 and 54020.

Prime Factorization of 54005

Prime Factorization of 54020

Now multiplying the highest exponent prime factors to calculate the LCM of 54005 and 54020.

LCM(54005,54020) = 5¹ × 7¹ × 1543¹ × 2² × 37¹ × 73¹
LCM(54005,54020) = 583470020