What is the Least Common Multiple of 60857 and 60873?

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 60873 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 60873, than apply into the LCM equation.

GCF(60857,60873) = 1
LCM(60857,60873) = ( 60857 × 60873) / 1
LCM(60857,60873) = 3704548161 / 1
LCM(60857,60873) = 3704548161

Least Common Multiple (LCM) of 60857 and 60873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60857 and 60873. First we will calculate the prime factors of 60857 and 60873.

Prime Factorization of 60857

Prime Factorization of 60873

Now multiplying the highest exponent prime factors to calculate the LCM of 60857 and 60873.

LCM(60857,60873) = 19¹ × 3203¹ × 3¹ × 103¹ × 197¹
LCM(60857,60873) = 3704548161