What is the Least Common Multiple of 75825 and 75843?

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 75843 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 75843, than apply into the LCM equation.

GCF(75825,75843) = 9
LCM(75825,75843) = ( 75825 × 75843) / 9
LCM(75825,75843) = 5750795475 / 9
LCM(75825,75843) = 638977275

Least Common Multiple (LCM) of 75825 and 75843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75825 and 75843. First we will calculate the prime factors of 75825 and 75843.

Prime Factorization of 75825

Prime Factorization of 75843

Now multiplying the highest exponent prime factors to calculate the LCM of 75825 and 75843.

LCM(75825,75843) = 3³ × 5² × 337¹ × 53²
LCM(75825,75843) = 638977275