What is the Least Common Multiple of 83805 and 83825?

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 83805 and 83825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83805 and 83825, than apply into the LCM equation.

GCF(83805,83825) = 5
LCM(83805,83825) = ( 83805 × 83825) / 5
LCM(83805,83825) = 7024954125 / 5
LCM(83805,83825) = 1404990825

Least Common Multiple (LCM) of 83805 and 83825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83805 and 83825. First we will calculate the prime factors of 83805 and 83825.

Prime Factorization of 83805

Prime Factorization of 83825

Now multiplying the highest exponent prime factors to calculate the LCM of 83805 and 83825.

LCM(83805,83825) = 3¹ × 5² × 37¹ × 151¹ × 7¹ × 479¹
LCM(83805,83825) = 1404990825