What is the Least Common Multiple of 57705 and 57717?

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 57705 and 57717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57705 and 57717, than apply into the LCM equation.

GCF(57705,57717) = 3
LCM(57705,57717) = ( 57705 × 57717) / 3
LCM(57705,57717) = 3330559485 / 3
LCM(57705,57717) = 1110186495

Least Common Multiple (LCM) of 57705 and 57717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57705 and 57717. First we will calculate the prime factors of 57705 and 57717.

Prime Factorization of 57705

Prime Factorization of 57717

Now multiplying the highest exponent prime factors to calculate the LCM of 57705 and 57717.

LCM(57705,57717) = 3² × 5¹ × 3847¹ × 11² × 53¹
LCM(57705,57717) = 1110186495