What is the Least Common Multiple of 31428 and 31442?

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 31428 and 31442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31428 and 31442, than apply into the LCM equation.

GCF(31428,31442) = 2
LCM(31428,31442) = ( 31428 × 31442) / 2
LCM(31428,31442) = 988159176 / 2
LCM(31428,31442) = 494079588

Least Common Multiple (LCM) of 31428 and 31442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31428 and 31442. First we will calculate the prime factors of 31428 and 31442.

Prime Factorization of 31428

Prime Factorization of 31442

Now multiplying the highest exponent prime factors to calculate the LCM of 31428 and 31442.

LCM(31428,31442) = 2² × 3⁴ × 97¹ × 79¹ × 199¹
LCM(31428,31442) = 494079588