What is the Least Common Multiple of 31870 and 31878?

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 31870 and 31878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31870 and 31878, than apply into the LCM equation.

GCF(31870,31878) = 2
LCM(31870,31878) = ( 31870 × 31878) / 2
LCM(31870,31878) = 1015951860 / 2
LCM(31870,31878) = 507975930

Least Common Multiple (LCM) of 31870 and 31878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31870 and 31878. First we will calculate the prime factors of 31870 and 31878.

Prime Factorization of 31870

Prime Factorization of 31878

Now multiplying the highest exponent prime factors to calculate the LCM of 31870 and 31878.

LCM(31870,31878) = 2¹ × 5¹ × 3187¹ × 3² × 7¹ × 11¹ × 23¹
LCM(31870,31878) = 507975930