What is the Least Common Multiple of 31173 and 31178?

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 31173 and 31178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31173 and 31178, than apply into the LCM equation.

GCF(31173,31178) = 1
LCM(31173,31178) = ( 31173 × 31178) / 1
LCM(31173,31178) = 971911794 / 1
LCM(31173,31178) = 971911794

Least Common Multiple (LCM) of 31173 and 31178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31173 and 31178. First we will calculate the prime factors of 31173 and 31178.

Prime Factorization of 31173

Prime Factorization of 31178

Now multiplying the highest exponent prime factors to calculate the LCM of 31173 and 31178.

LCM(31173,31178) = 3¹ × 10391¹ × 2¹ × 7¹ × 17¹ × 131¹
LCM(31173,31178) = 971911794