What is the Least Common Multiple of 97665 and 97682?

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 97665 and 97682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97665 and 97682, than apply into the LCM equation.

GCF(97665,97682) = 17
LCM(97665,97682) = ( 97665 × 97682) / 17
LCM(97665,97682) = 9540112530 / 17
LCM(97665,97682) = 561183090

Least Common Multiple (LCM) of 97665 and 97682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97665 and 97682. First we will calculate the prime factors of 97665 and 97682.

Prime Factorization of 97665

Prime Factorization of 97682

Now multiplying the highest exponent prime factors to calculate the LCM of 97665 and 97682.

LCM(97665,97682) = 3¹ × 5¹ × 17² × 383¹ × 2¹ × 13²
LCM(97665,97682) = 561183090