What is the Least Common Multiple of 60857 and 60871?

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 60857 and 60871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60857 and 60871, than apply into the LCM equation.

GCF(60857,60871) = 1
LCM(60857,60871) = ( 60857 × 60871) / 1
LCM(60857,60871) = 3704426447 / 1
LCM(60857,60871) = 3704426447

Least Common Multiple (LCM) of 60857 and 60871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60857 and 60871. First we will calculate the prime factors of 60857 and 60871.

Prime Factorization of 60857

Prime Factorization of 60871

Now multiplying the highest exponent prime factors to calculate the LCM of 60857 and 60871.

LCM(60857,60871) = 19¹ × 3203¹ × 29¹ × 2099¹
LCM(60857,60871) = 3704426447