What is the Least Common Multiple of 43800 and 43809?

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 43800 and 43809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43800 and 43809, than apply into the LCM equation.

GCF(43800,43809) = 3
LCM(43800,43809) = ( 43800 × 43809) / 3
LCM(43800,43809) = 1918834200 / 3
LCM(43800,43809) = 639611400

Least Common Multiple (LCM) of 43800 and 43809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43800 and 43809. First we will calculate the prime factors of 43800 and 43809.

Prime Factorization of 43800

Prime Factorization of 43809

Now multiplying the highest exponent prime factors to calculate the LCM of 43800 and 43809.

LCM(43800,43809) = 2³ × 3¹ × 5² × 73¹ × 17¹ × 859¹
LCM(43800,43809) = 639611400