What is the Least Common Multiple of 96225 and 96230?

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 96230 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 96230, than apply into the LCM equation.

GCF(96225,96230) = 5
LCM(96225,96230) = ( 96225 × 96230) / 5
LCM(96225,96230) = 9259731750 / 5
LCM(96225,96230) = 1851946350

Least Common Multiple (LCM) of 96225 and 96230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96225 and 96230. First we will calculate the prime factors of 96225 and 96230.

Prime Factorization of 96225

Prime Factorization of 96230

Now multiplying the highest exponent prime factors to calculate the LCM of 96225 and 96230.

LCM(96225,96230) = 3¹ × 5² × 1283¹ × 2¹ × 9623¹
LCM(96225,96230) = 1851946350