What is the Least Common Multiple of 28225 and 28244?

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 28225 and 28244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28225 and 28244, than apply into the LCM equation.

GCF(28225,28244) = 1
LCM(28225,28244) = ( 28225 × 28244) / 1
LCM(28225,28244) = 797186900 / 1
LCM(28225,28244) = 797186900

Least Common Multiple (LCM) of 28225 and 28244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28225 and 28244. First we will calculate the prime factors of 28225 and 28244.

Prime Factorization of 28225

Prime Factorization of 28244

Now multiplying the highest exponent prime factors to calculate the LCM of 28225 and 28244.

LCM(28225,28244) = 5² × 1129¹ × 2² × 23¹ × 307¹
LCM(28225,28244) = 797186900