What is the Least Common Multiple of 43794 and 43800?

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 43794 and 43800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43794 and 43800, than apply into the LCM equation.

GCF(43794,43800) = 6
LCM(43794,43800) = ( 43794 × 43800) / 6
LCM(43794,43800) = 1918177200 / 6
LCM(43794,43800) = 319696200

Least Common Multiple (LCM) of 43794 and 43800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43794 and 43800. First we will calculate the prime factors of 43794 and 43800.

Prime Factorization of 43794

Prime Factorization of 43800

Now multiplying the highest exponent prime factors to calculate the LCM of 43794 and 43800.

LCM(43794,43800) = 2³ × 3³ × 811¹ × 5² × 73¹
LCM(43794,43800) = 319696200