What is the Least Common Multiple of 56800 and 56809?

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 56800 and 56809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56800 and 56809, than apply into the LCM equation.

GCF(56800,56809) = 1
LCM(56800,56809) = ( 56800 × 56809) / 1
LCM(56800,56809) = 3226751200 / 1
LCM(56800,56809) = 3226751200

Least Common Multiple (LCM) of 56800 and 56809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56800 and 56809. First we will calculate the prime factors of 56800 and 56809.

Prime Factorization of 56800

Prime Factorization of 56809

Now multiplying the highest exponent prime factors to calculate the LCM of 56800 and 56809.

LCM(56800,56809) = 2⁵ × 5² × 71¹ × 56809¹
LCM(56800,56809) = 3226751200