What is the Least Common Multiple of 93805 and 93825?

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 93805 and 93825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93805 and 93825, than apply into the LCM equation.

GCF(93805,93825) = 5
LCM(93805,93825) = ( 93805 × 93825) / 5
LCM(93805,93825) = 8801254125 / 5
LCM(93805,93825) = 1760250825

Least Common Multiple (LCM) of 93805 and 93825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93805 and 93825. First we will calculate the prime factors of 93805 and 93825.

Prime Factorization of 93805

Prime Factorization of 93825

Now multiplying the highest exponent prime factors to calculate the LCM of 93805 and 93825.

LCM(93805,93825) = 5² × 73¹ × 257¹ × 3³ × 139¹
LCM(93805,93825) = 1760250825