What is the Least Common Multiple of 43389 and 43409?

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 43389 and 43409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43389 and 43409, than apply into the LCM equation.

GCF(43389,43409) = 1
LCM(43389,43409) = ( 43389 × 43409) / 1
LCM(43389,43409) = 1883473101 / 1
LCM(43389,43409) = 1883473101

Least Common Multiple (LCM) of 43389 and 43409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43389 and 43409. First we will calculate the prime factors of 43389 and 43409.

Prime Factorization of 43389

Prime Factorization of 43409

Now multiplying the highest exponent prime factors to calculate the LCM of 43389 and 43409.

LCM(43389,43409) = 3³ × 1607¹ × 83¹ × 523¹
LCM(43389,43409) = 1883473101