What is the Least Common Multiple of 66861 and 66873?

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 66861 and 66873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66861 and 66873, than apply into the LCM equation.

GCF(66861,66873) = 3
LCM(66861,66873) = ( 66861 × 66873) / 3
LCM(66861,66873) = 4471195653 / 3
LCM(66861,66873) = 1490398551

Least Common Multiple (LCM) of 66861 and 66873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66861 and 66873. First we will calculate the prime factors of 66861 and 66873.

Prime Factorization of 66861

Prime Factorization of 66873

Now multiplying the highest exponent prime factors to calculate the LCM of 66861 and 66873.

LCM(66861,66873) = 3² × 17¹ × 19¹ × 23¹ × 22291¹
LCM(66861,66873) = 1490398551