What is the Least Common Multiple of 43800 and 43817?

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 43817 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 43817, than apply into the LCM equation.

GCF(43800,43817) = 1
LCM(43800,43817) = ( 43800 × 43817) / 1
LCM(43800,43817) = 1919184600 / 1
LCM(43800,43817) = 1919184600

Least Common Multiple (LCM) of 43800 and 43817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43800 and 43817. First we will calculate the prime factors of 43800 and 43817.

Prime Factorization of 43800

Prime Factorization of 43817

Now multiplying the highest exponent prime factors to calculate the LCM of 43800 and 43817.

LCM(43800,43817) = 2³ × 3¹ × 5² × 73¹ × 43¹ × 1019¹
LCM(43800,43817) = 1919184600