What is the Least Common Multiple of 97323 and 97339?

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 97323 and 97339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97323 and 97339, than apply into the LCM equation.

GCF(97323,97339) = 1
LCM(97323,97339) = ( 97323 × 97339) / 1
LCM(97323,97339) = 9473323497 / 1
LCM(97323,97339) = 9473323497

Least Common Multiple (LCM) of 97323 and 97339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97323 and 97339. First we will calculate the prime factors of 97323 and 97339.

Prime Factorization of 97323

Prime Factorization of 97339

Now multiplying the highest exponent prime factors to calculate the LCM of 97323 and 97339.

LCM(97323,97339) = 3¹ × 32441¹ × 11¹ × 8849¹
LCM(97323,97339) = 9473323497