What is the Least Common Multiple of 96565 and 96580?

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 96580 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 96580, than apply into the LCM equation.

GCF(96565,96580) = 5
LCM(96565,96580) = ( 96565 × 96580) / 5
LCM(96565,96580) = 9326247700 / 5
LCM(96565,96580) = 1865249540

Least Common Multiple (LCM) of 96565 and 96580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96565 and 96580. First we will calculate the prime factors of 96565 and 96580.

Prime Factorization of 96565

Prime Factorization of 96580

Now multiplying the highest exponent prime factors to calculate the LCM of 96565 and 96580.

LCM(96565,96580) = 5¹ × 7¹ × 31¹ × 89¹ × 2² × 11¹ × 439¹
LCM(96565,96580) = 1865249540