What is the Least Common Multiple of 43578 and 43594?

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 43578 and 43594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43578 and 43594, than apply into the LCM equation.

GCF(43578,43594) = 2
LCM(43578,43594) = ( 43578 × 43594) / 2
LCM(43578,43594) = 1899739332 / 2
LCM(43578,43594) = 949869666

Least Common Multiple (LCM) of 43578 and 43594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43578 and 43594. First we will calculate the prime factors of 43578 and 43594.

Prime Factorization of 43578

Prime Factorization of 43594

Now multiplying the highest exponent prime factors to calculate the LCM of 43578 and 43594.

LCM(43578,43594) = 2¹ × 3⁴ × 269¹ × 71¹ × 307¹
LCM(43578,43594) = 949869666