What is the Least Common Multiple of 31870 and 31883?

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 31883 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 31883, than apply into the LCM equation.

GCF(31870,31883) = 1
LCM(31870,31883) = ( 31870 × 31883) / 1
LCM(31870,31883) = 1016111210 / 1
LCM(31870,31883) = 1016111210

Least Common Multiple (LCM) of 31870 and 31883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31870 and 31883. First we will calculate the prime factors of 31870 and 31883.

Prime Factorization of 31870

Prime Factorization of 31883

Now multiplying the highest exponent prime factors to calculate the LCM of 31870 and 31883.

LCM(31870,31883) = 2¹ × 5¹ × 3187¹ × 31883¹
LCM(31870,31883) = 1016111210