What is the Least Common Multiple of 96565 and 96573?

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 96565 and 96573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96565 and 96573, than apply into the LCM equation.

GCF(96565,96573) = 1
LCM(96565,96573) = ( 96565 × 96573) / 1
LCM(96565,96573) = 9325571745 / 1
LCM(96565,96573) = 9325571745

Least Common Multiple (LCM) of 96565 and 96573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96565 and 96573. First we will calculate the prime factors of 96565 and 96573.

Prime Factorization of 96565

Prime Factorization of 96573

Now multiplying the highest exponent prime factors to calculate the LCM of 96565 and 96573.

LCM(96565,96573) = 5¹ × 7¹ × 31¹ × 89¹ × 3¹ × 32191¹
LCM(96565,96573) = 9325571745