What is the Least Common Multiple of 75825 and 75841?

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 75841 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 75841, than apply into the LCM equation.

GCF(75825,75841) = 1
LCM(75825,75841) = ( 75825 × 75841) / 1
LCM(75825,75841) = 5750643825 / 1
LCM(75825,75841) = 5750643825

Least Common Multiple (LCM) of 75825 and 75841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75825 and 75841. First we will calculate the prime factors of 75825 and 75841.

Prime Factorization of 75825

Prime Factorization of 75841

Now multiplying the highest exponent prime factors to calculate the LCM of 75825 and 75841.

LCM(75825,75841) = 3² × 5² × 337¹ × 149¹ × 509¹
LCM(75825,75841) = 5750643825