What is the Least Common Multiple of 52857 and 52869?

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 52857 and 52869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52857 and 52869, than apply into the LCM equation.

GCF(52857,52869) = 3
LCM(52857,52869) = ( 52857 × 52869) / 3
LCM(52857,52869) = 2794496733 / 3
LCM(52857,52869) = 931498911

Least Common Multiple (LCM) of 52857 and 52869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52857 and 52869. First we will calculate the prime factors of 52857 and 52869.

Prime Factorization of 52857

Prime Factorization of 52869

Now multiplying the highest exponent prime factors to calculate the LCM of 52857 and 52869.

LCM(52857,52869) = 3² × 7¹ × 839¹ × 17623¹
LCM(52857,52869) = 931498911