What is the Least Common Multiple of 57808 and 57817?

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 57808 and 57817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57808 and 57817, than apply into the LCM equation.

GCF(57808,57817) = 1
LCM(57808,57817) = ( 57808 × 57817) / 1
LCM(57808,57817) = 3342285136 / 1
LCM(57808,57817) = 3342285136

Least Common Multiple (LCM) of 57808 and 57817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57808 and 57817. First we will calculate the prime factors of 57808 and 57817.

Prime Factorization of 57808

Prime Factorization of 57817

Now multiplying the highest exponent prime factors to calculate the LCM of 57808 and 57817.

LCM(57808,57817) = 2⁴ × 3613¹ × 17¹ × 19¹ × 179¹
LCM(57808,57817) = 3342285136