What is the Least Common Multiple of 43589 and 43601?

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 43589 and 43601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43589 and 43601, than apply into the LCM equation.

GCF(43589,43601) = 1
LCM(43589,43601) = ( 43589 × 43601) / 1
LCM(43589,43601) = 1900523989 / 1
LCM(43589,43601) = 1900523989

Least Common Multiple (LCM) of 43589 and 43601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43589 and 43601. First we will calculate the prime factors of 43589 and 43601.

Prime Factorization of 43589

Prime Factorization of 43601

Now multiplying the highest exponent prime factors to calculate the LCM of 43589 and 43601.

LCM(43589,43601) = 7¹ × 13¹ × 479¹ × 59¹ × 739¹
LCM(43589,43601) = 1900523989