What is the Least Common Multiple of 31006 and 31026?

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 31006 and 31026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31006 and 31026, than apply into the LCM equation.

GCF(31006,31026) = 2
LCM(31006,31026) = ( 31006 × 31026) / 2
LCM(31006,31026) = 961992156 / 2
LCM(31006,31026) = 480996078

Least Common Multiple (LCM) of 31006 and 31026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31006 and 31026. First we will calculate the prime factors of 31006 and 31026.

Prime Factorization of 31006

Prime Factorization of 31026

Now multiplying the highest exponent prime factors to calculate the LCM of 31006 and 31026.

LCM(31006,31026) = 2¹ × 37¹ × 419¹ × 3¹ × 5171¹
LCM(31006,31026) = 480996078