What is the Least Common Multiple of 84024 and 84032?

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 84024 and 84032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84024 and 84032, than apply into the LCM equation.

GCF(84024,84032) = 8
LCM(84024,84032) = ( 84024 × 84032) / 8
LCM(84024,84032) = 7060704768 / 8
LCM(84024,84032) = 882588096

Least Common Multiple (LCM) of 84024 and 84032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84024 and 84032. First we will calculate the prime factors of 84024 and 84032.

Prime Factorization of 84024

Prime Factorization of 84032

Now multiplying the highest exponent prime factors to calculate the LCM of 84024 and 84032.

LCM(84024,84032) = 2⁶ × 3³ × 389¹ × 13¹ × 101¹
LCM(84024,84032) = 882588096