What is the Least Common Multiple of 43582 and 43598?

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 43598 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 43598, than apply into the LCM equation.

GCF(43582,43598) = 2
LCM(43582,43598) = ( 43582 × 43598) / 2
LCM(43582,43598) = 1900088036 / 2
LCM(43582,43598) = 950044018

Least Common Multiple (LCM) of 43582 and 43598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43582 and 43598. First we will calculate the prime factors of 43582 and 43598.

Prime Factorization of 43582

Prime Factorization of 43598

Now multiplying the highest exponent prime factors to calculate the LCM of 43582 and 43598.

LCM(43582,43598) = 2¹ × 7¹ × 11¹ × 283¹ × 21799¹
LCM(43582,43598) = 950044018