What is the Least Common Multiple of 57685 and 57695?

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 57685 and 57695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57685 and 57695, than apply into the LCM equation.

GCF(57685,57695) = 5
LCM(57685,57695) = ( 57685 × 57695) / 5
LCM(57685,57695) = 3328136075 / 5
LCM(57685,57695) = 665627215

Least Common Multiple (LCM) of 57685 and 57695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57685 and 57695. First we will calculate the prime factors of 57685 and 57695.

Prime Factorization of 57685

Prime Factorization of 57695

Now multiplying the highest exponent prime factors to calculate the LCM of 57685 and 57695.

LCM(57685,57695) = 5¹ × 83¹ × 139¹ × 11¹ × 1049¹
LCM(57685,57695) = 665627215