What is the Least Common Multiple of 43398 and 43416?

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 43398 and 43416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43398 and 43416, than apply into the LCM equation.

GCF(43398,43416) = 18
LCM(43398,43416) = ( 43398 × 43416) / 18
LCM(43398,43416) = 1884167568 / 18
LCM(43398,43416) = 104675976

Least Common Multiple (LCM) of 43398 and 43416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43398 and 43416. First we will calculate the prime factors of 43398 and 43416.

Prime Factorization of 43398

Prime Factorization of 43416

Now multiplying the highest exponent prime factors to calculate the LCM of 43398 and 43416.

LCM(43398,43416) = 2³ × 3⁴ × 2411¹ × 67¹
LCM(43398,43416) = 104675976