What is the Least Common Multiple of 31176 and 31194?

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 31176 and 31194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31176 and 31194, than apply into the LCM equation.

GCF(31176,31194) = 18
LCM(31176,31194) = ( 31176 × 31194) / 18
LCM(31176,31194) = 972504144 / 18
LCM(31176,31194) = 54028008

Least Common Multiple (LCM) of 31176 and 31194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31176 and 31194. First we will calculate the prime factors of 31176 and 31194.

Prime Factorization of 31176

Prime Factorization of 31194

Now multiplying the highest exponent prime factors to calculate the LCM of 31176 and 31194.

LCM(31176,31194) = 2³ × 3² × 433¹ × 1733¹
LCM(31176,31194) = 54028008