What is the Least Common Multiple of 31870 and 31886?

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 31886 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 31886, than apply into the LCM equation.

GCF(31870,31886) = 2
LCM(31870,31886) = ( 31870 × 31886) / 2
LCM(31870,31886) = 1016206820 / 2
LCM(31870,31886) = 508103410

Least Common Multiple (LCM) of 31870 and 31886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31870 and 31886. First we will calculate the prime factors of 31870 and 31886.

Prime Factorization of 31870

Prime Factorization of 31886

Now multiplying the highest exponent prime factors to calculate the LCM of 31870 and 31886.

LCM(31870,31886) = 2¹ × 5¹ × 3187¹ × 107¹ × 149¹
LCM(31870,31886) = 508103410