What is the Least Common Multiple of 31032 and 31040?

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 31032 and 31040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31032 and 31040, than apply into the LCM equation.

GCF(31032,31040) = 8
LCM(31032,31040) = ( 31032 × 31040) / 8
LCM(31032,31040) = 963233280 / 8
LCM(31032,31040) = 120404160

Least Common Multiple (LCM) of 31032 and 31040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31032 and 31040. First we will calculate the prime factors of 31032 and 31040.

Prime Factorization of 31032

Prime Factorization of 31040

Now multiplying the highest exponent prime factors to calculate the LCM of 31032 and 31040.

LCM(31032,31040) = 2⁶ × 3² × 431¹ × 5¹ × 97¹
LCM(31032,31040) = 120404160