What is the Least Common Multiple of 43582 and 43597?

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 43582 and 43597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43582 and 43597, than apply into the LCM equation.

GCF(43582,43597) = 1
LCM(43582,43597) = ( 43582 × 43597) / 1
LCM(43582,43597) = 1900044454 / 1
LCM(43582,43597) = 1900044454

Least Common Multiple (LCM) of 43582 and 43597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43582 and 43597. First we will calculate the prime factors of 43582 and 43597.

Prime Factorization of 43582

Prime Factorization of 43597

Now multiplying the highest exponent prime factors to calculate the LCM of 43582 and 43597.

LCM(43582,43597) = 2¹ × 7¹ × 11¹ × 283¹ × 43597¹
LCM(43582,43597) = 1900044454