What is the Least Common Multiple of 57827 and 57841?

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 57827 and 57841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57827 and 57841, than apply into the LCM equation.

GCF(57827,57841) = 7
LCM(57827,57841) = ( 57827 × 57841) / 7
LCM(57827,57841) = 3344771507 / 7
LCM(57827,57841) = 477824501

Least Common Multiple (LCM) of 57827 and 57841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57827 and 57841. First we will calculate the prime factors of 57827 and 57841.

Prime Factorization of 57827

Prime Factorization of 57841

Now multiplying the highest exponent prime factors to calculate the LCM of 57827 and 57841.

LCM(57827,57841) = 7¹ × 11¹ × 751¹ × 8263¹
LCM(57827,57841) = 477824501