What is the Least Common Multiple of 43386 and 43404?

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 43386 and 43404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43386 and 43404, than apply into the LCM equation.

GCF(43386,43404) = 6
LCM(43386,43404) = ( 43386 × 43404) / 6
LCM(43386,43404) = 1883125944 / 6
LCM(43386,43404) = 313854324

Least Common Multiple (LCM) of 43386 and 43404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43386 and 43404. First we will calculate the prime factors of 43386 and 43404.

Prime Factorization of 43386

Prime Factorization of 43404

Now multiplying the highest exponent prime factors to calculate the LCM of 43386 and 43404.

LCM(43386,43404) = 2² × 3¹ × 7¹ × 1033¹ × 3617¹
LCM(43386,43404) = 313854324