What is the Least Common Multiple of 31032 and 31042?

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 31042 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 31042, than apply into the LCM equation.

GCF(31032,31042) = 2
LCM(31032,31042) = ( 31032 × 31042) / 2
LCM(31032,31042) = 963295344 / 2
LCM(31032,31042) = 481647672

Least Common Multiple (LCM) of 31032 and 31042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31032 and 31042. First we will calculate the prime factors of 31032 and 31042.

Prime Factorization of 31032

Prime Factorization of 31042

Now multiplying the highest exponent prime factors to calculate the LCM of 31032 and 31042.

LCM(31032,31042) = 2³ × 3² × 431¹ × 11¹ × 17¹ × 83¹
LCM(31032,31042) = 481647672