What is the Least Common Multiple of 43576 and 43589?

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 43576 and 43589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43576 and 43589, than apply into the LCM equation.

GCF(43576,43589) = 13
LCM(43576,43589) = ( 43576 × 43589) / 13
LCM(43576,43589) = 1899434264 / 13
LCM(43576,43589) = 146110328

Least Common Multiple (LCM) of 43576 and 43589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43576 and 43589. First we will calculate the prime factors of 43576 and 43589.

Prime Factorization of 43576

Prime Factorization of 43589

Now multiplying the highest exponent prime factors to calculate the LCM of 43576 and 43589.

LCM(43576,43589) = 2³ × 13¹ × 419¹ × 7¹ × 479¹
LCM(43576,43589) = 146110328