What is the Least Common Multiple of 57089 and 57100?

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 57089 and 57100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57089 and 57100, than apply into the LCM equation.

GCF(57089,57100) = 1
LCM(57089,57100) = ( 57089 × 57100) / 1
LCM(57089,57100) = 3259781900 / 1
LCM(57089,57100) = 3259781900

Least Common Multiple (LCM) of 57089 and 57100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57089 and 57100. First we will calculate the prime factors of 57089 and 57100.

Prime Factorization of 57089

Prime Factorization of 57100

Now multiplying the highest exponent prime factors to calculate the LCM of 57089 and 57100.

LCM(57089,57100) = 57089¹ × 2² × 5² × 571¹
LCM(57089,57100) = 3259781900