What is the Least Common Multiple of 75875 and 75893?

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 75875 and 75893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75875 and 75893, than apply into the LCM equation.

GCF(75875,75893) = 1
LCM(75875,75893) = ( 75875 × 75893) / 1
LCM(75875,75893) = 5758381375 / 1
LCM(75875,75893) = 5758381375

Least Common Multiple (LCM) of 75875 and 75893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75875 and 75893. First we will calculate the prime factors of 75875 and 75893.

Prime Factorization of 75875

Prime Factorization of 75893

Now multiplying the highest exponent prime factors to calculate the LCM of 75875 and 75893.

LCM(75875,75893) = 5³ × 607¹ × 29¹ × 2617¹
LCM(75875,75893) = 5758381375