What is the Least Common Multiple of 96577 and 96581?

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 96577 and 96581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96577 and 96581, than apply into the LCM equation.

GCF(96577,96581) = 1
LCM(96577,96581) = ( 96577 × 96581) / 1
LCM(96577,96581) = 9327503237 / 1
LCM(96577,96581) = 9327503237

Least Common Multiple (LCM) of 96577 and 96581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96577 and 96581. First we will calculate the prime factors of 96577 and 96581.

Prime Factorization of 96577

Prime Factorization of 96581

Now multiplying the highest exponent prime factors to calculate the LCM of 96577 and 96581.

LCM(96577,96581) = 13¹ × 17¹ × 19¹ × 23¹ × 96581¹
LCM(96577,96581) = 9327503237