What is the Least Common Multiple of 80431 and 80447?

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 80431 and 80447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80431 and 80447, than apply into the LCM equation.

GCF(80431,80447) = 1
LCM(80431,80447) = ( 80431 × 80447) / 1
LCM(80431,80447) = 6470432657 / 1
LCM(80431,80447) = 6470432657

Least Common Multiple (LCM) of 80431 and 80447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80431 and 80447. First we will calculate the prime factors of 80431 and 80447.

Prime Factorization of 80431

Prime Factorization of 80447

Now multiplying the highest exponent prime factors to calculate the LCM of 80431 and 80447.

LCM(80431,80447) = 13¹ × 23¹ × 269¹ × 80447¹
LCM(80431,80447) = 6470432657