What is the Least Common Multiple of 96200 and 96205?

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 96200 and 96205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96200 and 96205, than apply into the LCM equation.

GCF(96200,96205) = 5
LCM(96200,96205) = ( 96200 × 96205) / 5
LCM(96200,96205) = 9254921000 / 5
LCM(96200,96205) = 1850984200

Least Common Multiple (LCM) of 96200 and 96205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96200 and 96205. First we will calculate the prime factors of 96200 and 96205.

Prime Factorization of 96200

Prime Factorization of 96205

Now multiplying the highest exponent prime factors to calculate the LCM of 96200 and 96205.

LCM(96200,96205) = 2³ × 5² × 13¹ × 37¹ × 71¹ × 271¹
LCM(96200,96205) = 1850984200