What is the Least Common Multiple of 28214 and 28225?

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 28214 and 28225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28214 and 28225, than apply into the LCM equation.

GCF(28214,28225) = 1
LCM(28214,28225) = ( 28214 × 28225) / 1
LCM(28214,28225) = 796340150 / 1
LCM(28214,28225) = 796340150

Least Common Multiple (LCM) of 28214 and 28225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28214 and 28225. First we will calculate the prime factors of 28214 and 28225.

Prime Factorization of 28214

Prime Factorization of 28225

Now multiplying the highest exponent prime factors to calculate the LCM of 28214 and 28225.

LCM(28214,28225) = 2¹ × 14107¹ × 5² × 1129¹
LCM(28214,28225) = 796340150