What is the Least Common Multiple of 57800 and 57809?

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 57800 and 57809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57800 and 57809, than apply into the LCM equation.

GCF(57800,57809) = 1
LCM(57800,57809) = ( 57800 × 57809) / 1
LCM(57800,57809) = 3341360200 / 1
LCM(57800,57809) = 3341360200

Least Common Multiple (LCM) of 57800 and 57809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57800 and 57809. First we will calculate the prime factors of 57800 and 57809.

Prime Factorization of 57800

Prime Factorization of 57809

Now multiplying the highest exponent prime factors to calculate the LCM of 57800 and 57809.

LCM(57800,57809) = 2³ × 5² × 17² × 57809¹
LCM(57800,57809) = 3341360200