What is the Least Common Multiple of 28024 and 28032?

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 28024 and 28032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28024 and 28032, than apply into the LCM equation.

GCF(28024,28032) = 8
LCM(28024,28032) = ( 28024 × 28032) / 8
LCM(28024,28032) = 785568768 / 8
LCM(28024,28032) = 98196096

Least Common Multiple (LCM) of 28024 and 28032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28024 and 28032. First we will calculate the prime factors of 28024 and 28032.

Prime Factorization of 28024

Prime Factorization of 28032

Now multiplying the highest exponent prime factors to calculate the LCM of 28024 and 28032.

LCM(28024,28032) = 2⁷ × 31¹ × 113¹ × 3¹ × 73¹
LCM(28024,28032) = 98196096