What is the Least Common Multiple of 28288 and 28305?

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 28288 and 28305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28288 and 28305, than apply into the LCM equation.

GCF(28288,28305) = 17
LCM(28288,28305) = ( 28288 × 28305) / 17
LCM(28288,28305) = 800691840 / 17
LCM(28288,28305) = 47099520

Least Common Multiple (LCM) of 28288 and 28305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28288 and 28305. First we will calculate the prime factors of 28288 and 28305.

Prime Factorization of 28288

Prime Factorization of 28305

Now multiplying the highest exponent prime factors to calculate the LCM of 28288 and 28305.

LCM(28288,28305) = 2⁷ × 13¹ × 17¹ × 3² × 5¹ × 37¹
LCM(28288,28305) = 47099520