What is the Least Common Multiple of 75825 and 75833?

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 75825 and 75833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75825 and 75833, than apply into the LCM equation.

GCF(75825,75833) = 1
LCM(75825,75833) = ( 75825 × 75833) / 1
LCM(75825,75833) = 5750037225 / 1
LCM(75825,75833) = 5750037225

Least Common Multiple (LCM) of 75825 and 75833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75825 and 75833. First we will calculate the prime factors of 75825 and 75833.

Prime Factorization of 75825

Prime Factorization of 75833

Now multiplying the highest exponent prime factors to calculate the LCM of 75825 and 75833.

LCM(75825,75833) = 3² × 5² × 337¹ × 75833¹
LCM(75825,75833) = 5750037225