What is the Least Common Multiple of 28900 and 28917?

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 28900 and 28917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28900 and 28917, than apply into the LCM equation.

GCF(28900,28917) = 17
LCM(28900,28917) = ( 28900 × 28917) / 17
LCM(28900,28917) = 835701300 / 17
LCM(28900,28917) = 49158900

Least Common Multiple (LCM) of 28900 and 28917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28900 and 28917. First we will calculate the prime factors of 28900 and 28917.

Prime Factorization of 28900

Prime Factorization of 28917

Now multiplying the highest exponent prime factors to calculate the LCM of 28900 and 28917.

LCM(28900,28917) = 2² × 5² × 17² × 3⁵ × 7¹
LCM(28900,28917) = 49158900