What is the Least Common Multiple of 31032 and 31048?

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 31048 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 31048, than apply into the LCM equation.

GCF(31032,31048) = 8
LCM(31032,31048) = ( 31032 × 31048) / 8
LCM(31032,31048) = 963481536 / 8
LCM(31032,31048) = 120435192

Least Common Multiple (LCM) of 31032 and 31048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31032 and 31048. First we will calculate the prime factors of 31032 and 31048.

Prime Factorization of 31032

Prime Factorization of 31048

Now multiplying the highest exponent prime factors to calculate the LCM of 31032 and 31048.

LCM(31032,31048) = 2³ × 3² × 431¹ × 3881¹
LCM(31032,31048) = 120435192