What is the Least Common Multiple of 57570 and 57589?

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 57570 and 57589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57570 and 57589, than apply into the LCM equation.

GCF(57570,57589) = 19
LCM(57570,57589) = ( 57570 × 57589) / 19
LCM(57570,57589) = 3315398730 / 19
LCM(57570,57589) = 174494670

Least Common Multiple (LCM) of 57570 and 57589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57570 and 57589. First we will calculate the prime factors of 57570 and 57589.

Prime Factorization of 57570

Prime Factorization of 57589

Now multiplying the highest exponent prime factors to calculate the LCM of 57570 and 57589.

LCM(57570,57589) = 2¹ × 3¹ × 5¹ × 19¹ × 101¹ × 7¹ × 433¹
LCM(57570,57589) = 174494670