What is the Least Common Multiple of 97331 and 97343?

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 97331 and 97343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97331 and 97343, than apply into the LCM equation.

GCF(97331,97343) = 1
LCM(97331,97343) = ( 97331 × 97343) / 1
LCM(97331,97343) = 9474491533 / 1
LCM(97331,97343) = 9474491533

Least Common Multiple (LCM) of 97331 and 97343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97331 and 97343. First we will calculate the prime factors of 97331 and 97343.

Prime Factorization of 97331

Prime Factorization of 97343

Now multiplying the highest exponent prime factors to calculate the LCM of 97331 and 97343.

LCM(97331,97343) = 13¹ × 7487¹ × 311¹ × 313¹
LCM(97331,97343) = 9474491533