What is the Least Common Multiple of 97318 and 97331?

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 97318 and 97331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97318 and 97331, than apply into the LCM equation.

GCF(97318,97331) = 13
LCM(97318,97331) = ( 97318 × 97331) / 13
LCM(97318,97331) = 9472058258 / 13
LCM(97318,97331) = 728619866

Least Common Multiple (LCM) of 97318 and 97331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97318 and 97331. First we will calculate the prime factors of 97318 and 97331.

Prime Factorization of 97318

Prime Factorization of 97331

Now multiplying the highest exponent prime factors to calculate the LCM of 97318 and 97331.

LCM(97318,97331) = 2¹ × 13¹ × 19¹ × 197¹ × 7487¹
LCM(97318,97331) = 728619866