What is the Least Common Multiple of 57598 and 57605?

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 57598 and 57605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57598 and 57605, than apply into the LCM equation.

GCF(57598,57605) = 1
LCM(57598,57605) = ( 57598 × 57605) / 1
LCM(57598,57605) = 3317932790 / 1
LCM(57598,57605) = 3317932790

Least Common Multiple (LCM) of 57598 and 57605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57598 and 57605. First we will calculate the prime factors of 57598 and 57605.

Prime Factorization of 57598

Prime Factorization of 57605

Now multiplying the highest exponent prime factors to calculate the LCM of 57598 and 57605.

LCM(57598,57605) = 2¹ × 31¹ × 929¹ × 5¹ × 41¹ × 281¹
LCM(57598,57605) = 3317932790