What is the Least Common Multiple of 57659 and 57673?

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 57659 and 57673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57659 and 57673, than apply into the LCM equation.

GCF(57659,57673) = 7
LCM(57659,57673) = ( 57659 × 57673) / 7
LCM(57659,57673) = 3325367507 / 7
LCM(57659,57673) = 475052501

Least Common Multiple (LCM) of 57659 and 57673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57659 and 57673. First we will calculate the prime factors of 57659 and 57673.

Prime Factorization of 57659

Prime Factorization of 57673

Now multiplying the highest exponent prime factors to calculate the LCM of 57659 and 57673.

LCM(57659,57673) = 7² × 8237¹ × 11¹ × 107¹
LCM(57659,57673) = 475052501