What is the Least Common Multiple of 9314 and 9331?

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 9314 and 9331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9314 and 9331, than apply into the LCM equation.

GCF(9314,9331) = 1
LCM(9314,9331) = ( 9314 × 9331) / 1
LCM(9314,9331) = 86908934 / 1
LCM(9314,9331) = 86908934

Least Common Multiple (LCM) of 9314 and 9331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9314 and 9331. First we will calculate the prime factors of 9314 and 9331.

Prime Factorization of 9314

Prime Factorization of 9331

Now multiplying the highest exponent prime factors to calculate the LCM of 9314 and 9331.

LCM(9314,9331) = 2¹ × 4657¹ × 7¹ × 31¹ × 43¹
LCM(9314,9331) = 86908934