What is the Least Common Multiple of 57800 and 57812?

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 57812 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 57812, than apply into the LCM equation.

GCF(57800,57812) = 4
LCM(57800,57812) = ( 57800 × 57812) / 4
LCM(57800,57812) = 3341533600 / 4
LCM(57800,57812) = 835383400

Least Common Multiple (LCM) of 57800 and 57812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57800 and 57812. First we will calculate the prime factors of 57800 and 57812.

Prime Factorization of 57800

Prime Factorization of 57812

Now multiplying the highest exponent prime factors to calculate the LCM of 57800 and 57812.

LCM(57800,57812) = 2³ × 5² × 17² × 97¹ × 149¹
LCM(57800,57812) = 835383400