What is the Least Common Multiple of 43709 and 43724?

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 43709 and 43724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43709 and 43724, than apply into the LCM equation.

GCF(43709,43724) = 1
LCM(43709,43724) = ( 43709 × 43724) / 1
LCM(43709,43724) = 1911132316 / 1
LCM(43709,43724) = 1911132316

Least Common Multiple (LCM) of 43709 and 43724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43709 and 43724. First we will calculate the prime factors of 43709 and 43724.

Prime Factorization of 43709

Prime Factorization of 43724

Now multiplying the highest exponent prime factors to calculate the LCM of 43709 and 43724.

LCM(43709,43724) = 109¹ × 401¹ × 2² × 17¹ × 643¹
LCM(43709,43724) = 1911132316