What is the Least Common Multiple of 31254 and 31262?

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 31254 and 31262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31254 and 31262, than apply into the LCM equation.

GCF(31254,31262) = 2
LCM(31254,31262) = ( 31254 × 31262) / 2
LCM(31254,31262) = 977062548 / 2
LCM(31254,31262) = 488531274

Least Common Multiple (LCM) of 31254 and 31262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31254 and 31262. First we will calculate the prime factors of 31254 and 31262.

Prime Factorization of 31254

Prime Factorization of 31262

Now multiplying the highest exponent prime factors to calculate the LCM of 31254 and 31262.

LCM(31254,31262) = 2¹ × 3¹ × 5209¹ × 7² × 11¹ × 29¹
LCM(31254,31262) = 488531274