What is the Least Common Multiple of 57855 and 57869?

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 57855 and 57869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57855 and 57869, than apply into the LCM equation.

GCF(57855,57869) = 7
LCM(57855,57869) = ( 57855 × 57869) / 7
LCM(57855,57869) = 3348010995 / 7
LCM(57855,57869) = 478287285

Least Common Multiple (LCM) of 57855 and 57869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57855 and 57869. First we will calculate the prime factors of 57855 and 57869.

Prime Factorization of 57855

Prime Factorization of 57869

Now multiplying the highest exponent prime factors to calculate the LCM of 57855 and 57869.

LCM(57855,57869) = 3¹ × 5¹ × 7² × 19¹ × 29¹ × 1181¹
LCM(57855,57869) = 478287285