What is the Least Common Multiple of 84432 and 84451?

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 84451 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 84451, than apply into the LCM equation.

GCF(84432,84451) = 1
LCM(84432,84451) = ( 84432 × 84451) / 1
LCM(84432,84451) = 7130366832 / 1
LCM(84432,84451) = 7130366832

Least Common Multiple (LCM) of 84432 and 84451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84432 and 84451. First we will calculate the prime factors of 84432 and 84451.

Prime Factorization of 84432

Prime Factorization of 84451

Now multiplying the highest exponent prime factors to calculate the LCM of 84432 and 84451.

LCM(84432,84451) = 2⁴ × 3¹ × 1759¹ × 79¹ × 1069¹
LCM(84432,84451) = 7130366832