What is the Least Common Multiple of 62800 and 62805?

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 62800 and 62805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62800 and 62805, than apply into the LCM equation.

GCF(62800,62805) = 5
LCM(62800,62805) = ( 62800 × 62805) / 5
LCM(62800,62805) = 3944154000 / 5
LCM(62800,62805) = 788830800

Least Common Multiple (LCM) of 62800 and 62805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62800 and 62805. First we will calculate the prime factors of 62800 and 62805.

Prime Factorization of 62800

Prime Factorization of 62805

Now multiplying the highest exponent prime factors to calculate the LCM of 62800 and 62805.

LCM(62800,62805) = 2⁴ × 5² × 157¹ × 3¹ × 53¹ × 79¹
LCM(62800,62805) = 788830800