What is the Least Common Multiple of 84416 and 84432?

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 84416 and 84432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84416 and 84432, than apply into the LCM equation.

GCF(84416,84432) = 16
LCM(84416,84432) = ( 84416 × 84432) / 16
LCM(84416,84432) = 7127411712 / 16
LCM(84416,84432) = 445463232

Least Common Multiple (LCM) of 84416 and 84432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84416 and 84432. First we will calculate the prime factors of 84416 and 84432.

Prime Factorization of 84416

Prime Factorization of 84432

Now multiplying the highest exponent prime factors to calculate the LCM of 84416 and 84432.

LCM(84416,84432) = 2⁶ × 1319¹ × 3¹ × 1759¹
LCM(84416,84432) = 445463232