What is the Least Common Multiple of 96558 and 96577?

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 96558 and 96577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96558 and 96577, than apply into the LCM equation.

GCF(96558,96577) = 19
LCM(96558,96577) = ( 96558 × 96577) / 19
LCM(96558,96577) = 9325281966 / 19
LCM(96558,96577) = 490804314

Least Common Multiple (LCM) of 96558 and 96577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96558 and 96577. First we will calculate the prime factors of 96558 and 96577.

Prime Factorization of 96558

Prime Factorization of 96577

Now multiplying the highest exponent prime factors to calculate the LCM of 96558 and 96577.

LCM(96558,96577) = 2¹ × 3¹ × 7¹ × 11² × 19¹ × 13¹ × 17¹ × 23¹
LCM(96558,96577) = 490804314