What is the Least Common Multiple of 97682 and 97699?

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 97682 and 97699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97682 and 97699, than apply into the LCM equation.

GCF(97682,97699) = 17
LCM(97682,97699) = ( 97682 × 97699) / 17
LCM(97682,97699) = 9543433718 / 17
LCM(97682,97699) = 561378454

Least Common Multiple (LCM) of 97682 and 97699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97682 and 97699. First we will calculate the prime factors of 97682 and 97699.

Prime Factorization of 97682

Prime Factorization of 97699

Now multiplying the highest exponent prime factors to calculate the LCM of 97682 and 97699.

LCM(97682,97699) = 2¹ × 13² × 17² × 7¹ × 821¹
LCM(97682,97699) = 561378454