What is the Least Common Multiple of 31024 and 31032?

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 31024 and 31032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31024 and 31032, than apply into the LCM equation.

GCF(31024,31032) = 8
LCM(31024,31032) = ( 31024 × 31032) / 8
LCM(31024,31032) = 962736768 / 8
LCM(31024,31032) = 120342096

Least Common Multiple (LCM) of 31024 and 31032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31024 and 31032. First we will calculate the prime factors of 31024 and 31032.

Prime Factorization of 31024

Prime Factorization of 31032

Now multiplying the highest exponent prime factors to calculate the LCM of 31024 and 31032.

LCM(31024,31032) = 2⁴ × 7¹ × 277¹ × 3² × 431¹
LCM(31024,31032) = 120342096