What is the Least Common Multiple of 84432 and 84446?

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 84446 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 84446, than apply into the LCM equation.

GCF(84432,84446) = 2
LCM(84432,84446) = ( 84432 × 84446) / 2
LCM(84432,84446) = 7129944672 / 2
LCM(84432,84446) = 3564972336

Least Common Multiple (LCM) of 84432 and 84446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84432 and 84446. First we will calculate the prime factors of 84432 and 84446.

Prime Factorization of 84432

Prime Factorization of 84446

Now multiplying the highest exponent prime factors to calculate the LCM of 84432 and 84446.

LCM(84432,84446) = 2⁴ × 3¹ × 1759¹ × 42223¹
LCM(84432,84446) = 3564972336