What is the Least Common Multiple of 96205 and 96209?

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 96205 and 96209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96205 and 96209, than apply into the LCM equation.

GCF(96205,96209) = 1
LCM(96205,96209) = ( 96205 × 96209) / 1
LCM(96205,96209) = 9255786845 / 1
LCM(96205,96209) = 9255786845

Least Common Multiple (LCM) of 96205 and 96209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96205 and 96209. First we will calculate the prime factors of 96205 and 96209.

Prime Factorization of 96205

Prime Factorization of 96209

Now multiplying the highest exponent prime factors to calculate the LCM of 96205 and 96209.

LCM(96205,96209) = 5¹ × 71¹ × 271¹ × 23¹ × 47¹ × 89¹
LCM(96205,96209) = 9255786845