What is the Least Common Multiple of 97313 and 97327?

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 97313 and 97327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97313 and 97327, than apply into the LCM equation.

GCF(97313,97327) = 1
LCM(97313,97327) = ( 97313 × 97327) / 1
LCM(97313,97327) = 9471182351 / 1
LCM(97313,97327) = 9471182351

Least Common Multiple (LCM) of 97313 and 97327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97313 and 97327. First we will calculate the prime factors of 97313 and 97327.

Prime Factorization of 97313

Prime Factorization of 97327

Now multiplying the highest exponent prime factors to calculate the LCM of 97313 and 97327.

LCM(97313,97327) = 23¹ × 4231¹ × 97327¹
LCM(97313,97327) = 9471182351