What is the Least Common Multiple of 96225 and 96241?

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 96225 and 96241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96225 and 96241, than apply into the LCM equation.

GCF(96225,96241) = 1
LCM(96225,96241) = ( 96225 × 96241) / 1
LCM(96225,96241) = 9260790225 / 1
LCM(96225,96241) = 9260790225

Least Common Multiple (LCM) of 96225 and 96241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96225 and 96241. First we will calculate the prime factors of 96225 and 96241.

Prime Factorization of 96225

Prime Factorization of 96241

Now multiplying the highest exponent prime factors to calculate the LCM of 96225 and 96241.

LCM(96225,96241) = 3¹ × 5² × 1283¹ × 157¹ × 613¹
LCM(96225,96241) = 9260790225