What is the Least Common Multiple of 56805 and 56825?

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 56805 and 56825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56805 and 56825, than apply into the LCM equation.

GCF(56805,56825) = 5
LCM(56805,56825) = ( 56805 × 56825) / 5
LCM(56805,56825) = 3227944125 / 5
LCM(56805,56825) = 645588825

Least Common Multiple (LCM) of 56805 and 56825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56805 and 56825. First we will calculate the prime factors of 56805 and 56825.

Prime Factorization of 56805

Prime Factorization of 56825

Now multiplying the highest exponent prime factors to calculate the LCM of 56805 and 56825.

LCM(56805,56825) = 3¹ × 5² × 7¹ × 541¹ × 2273¹
LCM(56805,56825) = 645588825