What is the Least Common Multiple of 28896 and 28900?

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 28896 and 28900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28896 and 28900, than apply into the LCM equation.

GCF(28896,28900) = 4
LCM(28896,28900) = ( 28896 × 28900) / 4
LCM(28896,28900) = 835094400 / 4
LCM(28896,28900) = 208773600

Least Common Multiple (LCM) of 28896 and 28900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28896 and 28900. First we will calculate the prime factors of 28896 and 28900.

Prime Factorization of 28896

Prime Factorization of 28900

Now multiplying the highest exponent prime factors to calculate the LCM of 28896 and 28900.

LCM(28896,28900) = 2⁵ × 3¹ × 7¹ × 43¹ × 5² × 17²
LCM(28896,28900) = 208773600