What is the Least Common Multiple of 52800 and 52805?

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 52800 and 52805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52800 and 52805, than apply into the LCM equation.

GCF(52800,52805) = 5
LCM(52800,52805) = ( 52800 × 52805) / 5
LCM(52800,52805) = 2788104000 / 5
LCM(52800,52805) = 557620800

Least Common Multiple (LCM) of 52800 and 52805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52800 and 52805. First we will calculate the prime factors of 52800 and 52805.

Prime Factorization of 52800

Prime Factorization of 52805

Now multiplying the highest exponent prime factors to calculate the LCM of 52800 and 52805.

LCM(52800,52805) = 2⁶ × 3¹ × 5² × 11¹ × 59¹ × 179¹
LCM(52800,52805) = 557620800