What is the Least Common Multiple of 30805 and 30825?

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 30805 and 30825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30805 and 30825, than apply into the LCM equation.

GCF(30805,30825) = 5
LCM(30805,30825) = ( 30805 × 30825) / 5
LCM(30805,30825) = 949564125 / 5
LCM(30805,30825) = 189912825

Least Common Multiple (LCM) of 30805 and 30825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30805 and 30825. First we will calculate the prime factors of 30805 and 30825.

Prime Factorization of 30805

Prime Factorization of 30825

Now multiplying the highest exponent prime factors to calculate the LCM of 30805 and 30825.

LCM(30805,30825) = 5² × 61¹ × 101¹ × 3² × 137¹
LCM(30805,30825) = 189912825