What is the Least Common Multiple of 44800 and 44805?

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 44800 and 44805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44800 and 44805, than apply into the LCM equation.

GCF(44800,44805) = 5
LCM(44800,44805) = ( 44800 × 44805) / 5
LCM(44800,44805) = 2007264000 / 5
LCM(44800,44805) = 401452800

Least Common Multiple (LCM) of 44800 and 44805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44800 and 44805. First we will calculate the prime factors of 44800 and 44805.

Prime Factorization of 44800

Prime Factorization of 44805

Now multiplying the highest exponent prime factors to calculate the LCM of 44800 and 44805.

LCM(44800,44805) = 2⁸ × 5² × 7¹ × 3¹ × 29¹ × 103¹
LCM(44800,44805) = 401452800