What is the Least Common Multiple of 96577 and 96587?

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 96587 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 96587, than apply into the LCM equation.

GCF(96577,96587) = 1
LCM(96577,96587) = ( 96577 × 96587) / 1
LCM(96577,96587) = 9328082699 / 1
LCM(96577,96587) = 9328082699

Least Common Multiple (LCM) of 96577 and 96587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96577 and 96587. First we will calculate the prime factors of 96577 and 96587.

Prime Factorization of 96577

Prime Factorization of 96587

Now multiplying the highest exponent prime factors to calculate the LCM of 96577 and 96587.

LCM(96577,96587) = 13¹ × 17¹ × 19¹ × 23¹ × 96587¹
LCM(96577,96587) = 9328082699