What is the Least Common Multiple of 57579 and 57591?

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 57579 and 57591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57579 and 57591, than apply into the LCM equation.

GCF(57579,57591) = 3
LCM(57579,57591) = ( 57579 × 57591) / 3
LCM(57579,57591) = 3316032189 / 3
LCM(57579,57591) = 1105344063

Least Common Multiple (LCM) of 57579 and 57591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57579 and 57591. First we will calculate the prime factors of 57579 and 57591.

Prime Factorization of 57579

Prime Factorization of 57591

Now multiplying the highest exponent prime factors to calculate the LCM of 57579 and 57591.

LCM(57579,57591) = 3⁶ × 17¹ × 1129¹ × 79¹
LCM(57579,57591) = 1105344063