What is the Least Common Multiple of 43689 and 43709?

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 43689 and 43709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43689 and 43709, than apply into the LCM equation.

GCF(43689,43709) = 1
LCM(43689,43709) = ( 43689 × 43709) / 1
LCM(43689,43709) = 1909602501 / 1
LCM(43689,43709) = 1909602501

Least Common Multiple (LCM) of 43689 and 43709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43689 and 43709. First we will calculate the prime factors of 43689 and 43709.

Prime Factorization of 43689

Prime Factorization of 43709

Now multiplying the highest exponent prime factors to calculate the LCM of 43689 and 43709.

LCM(43689,43709) = 3¹ × 14563¹ × 109¹ × 401¹
LCM(43689,43709) = 1909602501