What is the Least Common Multiple of 80225 and 80230?

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 80225 and 80230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80225 and 80230, than apply into the LCM equation.

GCF(80225,80230) = 5
LCM(80225,80230) = ( 80225 × 80230) / 5
LCM(80225,80230) = 6436451750 / 5
LCM(80225,80230) = 1287290350

Least Common Multiple (LCM) of 80225 and 80230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80225 and 80230. First we will calculate the prime factors of 80225 and 80230.

Prime Factorization of 80225

Prime Factorization of 80230

Now multiplying the highest exponent prime factors to calculate the LCM of 80225 and 80230.

LCM(80225,80230) = 5² × 3209¹ × 2¹ × 71¹ × 113¹
LCM(80225,80230) = 1287290350