What is the Least Common Multiple of 96580 and 96592?

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 96580 and 96592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96580 and 96592, than apply into the LCM equation.

GCF(96580,96592) = 4
LCM(96580,96592) = ( 96580 × 96592) / 4
LCM(96580,96592) = 9328855360 / 4
LCM(96580,96592) = 2332213840

Least Common Multiple (LCM) of 96580 and 96592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96580 and 96592. First we will calculate the prime factors of 96580 and 96592.

Prime Factorization of 96580

Prime Factorization of 96592

Now multiplying the highest exponent prime factors to calculate the LCM of 96580 and 96592.

LCM(96580,96592) = 2⁴ × 5¹ × 11¹ × 439¹ × 6037¹
LCM(96580,96592) = 2332213840