What is the Least Common Multiple of 57906 and 57923?

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 57906 and 57923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57906 and 57923, than apply into the LCM equation.

GCF(57906,57923) = 1
LCM(57906,57923) = ( 57906 × 57923) / 1
LCM(57906,57923) = 3354089238 / 1
LCM(57906,57923) = 3354089238

Least Common Multiple (LCM) of 57906 and 57923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57906 and 57923. First we will calculate the prime factors of 57906 and 57923.

Prime Factorization of 57906

Prime Factorization of 57923

Now multiplying the highest exponent prime factors to calculate the LCM of 57906 and 57923.

LCM(57906,57923) = 2¹ × 3² × 3217¹ × 57923¹
LCM(57906,57923) = 3354089238