What is the Least Common Multiple of 28890 and 28895?

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 28890 and 28895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28890 and 28895, than apply into the LCM equation.

GCF(28890,28895) = 5
LCM(28890,28895) = ( 28890 × 28895) / 5
LCM(28890,28895) = 834776550 / 5
LCM(28890,28895) = 166955310

Least Common Multiple (LCM) of 28890 and 28895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28890 and 28895. First we will calculate the prime factors of 28890 and 28895.

Prime Factorization of 28890

Prime Factorization of 28895

Now multiplying the highest exponent prime factors to calculate the LCM of 28890 and 28895.

LCM(28890,28895) = 2¹ × 3³ × 5¹ × 107¹ × 5779¹
LCM(28890,28895) = 166955310