What is the Least Common Multiple of 43686 and 43699?

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 43686 and 43699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43686 and 43699, than apply into the LCM equation.

GCF(43686,43699) = 1
LCM(43686,43699) = ( 43686 × 43699) / 1
LCM(43686,43699) = 1909034514 / 1
LCM(43686,43699) = 1909034514

Least Common Multiple (LCM) of 43686 and 43699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43686 and 43699. First we will calculate the prime factors of 43686 and 43699.

Prime Factorization of 43686

Prime Factorization of 43699

Now multiplying the highest exponent prime factors to calculate the LCM of 43686 and 43699.

LCM(43686,43699) = 2¹ × 3³ × 809¹ × 89¹ × 491¹
LCM(43686,43699) = 1909034514