What is the Least Common Multiple of 4800 and 4805?

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 4800 and 4805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4800 and 4805, than apply into the LCM equation.

GCF(4800,4805) = 5
LCM(4800,4805) = ( 4800 × 4805) / 5
LCM(4800,4805) = 23064000 / 5
LCM(4800,4805) = 4612800

Least Common Multiple (LCM) of 4800 and 4805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4800 and 4805. First we will calculate the prime factors of 4800 and 4805.

Prime Factorization of 4800

Prime Factorization of 4805

Now multiplying the highest exponent prime factors to calculate the LCM of 4800 and 4805.

LCM(4800,4805) = 2⁶ × 3¹ × 5² × 31²
LCM(4800,4805) = 4612800