What is the Least Common Multiple of 43416 and 43431?

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 43416 and 43431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43416 and 43431, than apply into the LCM equation.

GCF(43416,43431) = 3
LCM(43416,43431) = ( 43416 × 43431) / 3
LCM(43416,43431) = 1885600296 / 3
LCM(43416,43431) = 628533432

Least Common Multiple (LCM) of 43416 and 43431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43416 and 43431. First we will calculate the prime factors of 43416 and 43431.

Prime Factorization of 43416

Prime Factorization of 43431

Now multiplying the highest exponent prime factors to calculate the LCM of 43416 and 43431.

LCM(43416,43431) = 2³ × 3⁴ × 67¹ × 31¹ × 467¹
LCM(43416,43431) = 628533432