What is the Least Common Multiple of 84432 and 84447?

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 84432 and 84447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84432 and 84447, than apply into the LCM equation.

GCF(84432,84447) = 3
LCM(84432,84447) = ( 84432 × 84447) / 3
LCM(84432,84447) = 7130029104 / 3
LCM(84432,84447) = 2376676368

Least Common Multiple (LCM) of 84432 and 84447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84432 and 84447. First we will calculate the prime factors of 84432 and 84447.

Prime Factorization of 84432

Prime Factorization of 84447

Now multiplying the highest exponent prime factors to calculate the LCM of 84432 and 84447.

LCM(84432,84447) = 2⁴ × 3² × 1759¹ × 11¹ × 853¹
LCM(84432,84447) = 2376676368