What is the Least Common Multiple of 48800 and 48805?

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 48800 and 48805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48800 and 48805, than apply into the LCM equation.

GCF(48800,48805) = 5
LCM(48800,48805) = ( 48800 × 48805) / 5
LCM(48800,48805) = 2381684000 / 5
LCM(48800,48805) = 476336800

Least Common Multiple (LCM) of 48800 and 48805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48800 and 48805. First we will calculate the prime factors of 48800 and 48805.

Prime Factorization of 48800

Prime Factorization of 48805

Now multiplying the highest exponent prime factors to calculate the LCM of 48800 and 48805.

LCM(48800,48805) = 2⁵ × 5² × 61¹ × 43¹ × 227¹
LCM(48800,48805) = 476336800