What is the Least Common Multiple of 6874 and 6887?

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 6874 and 6887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6874 and 6887, than apply into the LCM equation.

GCF(6874,6887) = 1
LCM(6874,6887) = ( 6874 × 6887) / 1
LCM(6874,6887) = 47341238 / 1
LCM(6874,6887) = 47341238

Least Common Multiple (LCM) of 6874 and 6887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6874 and 6887. First we will calculate the prime factors of 6874 and 6887.

Prime Factorization of 6874

Prime Factorization of 6887

Now multiplying the highest exponent prime factors to calculate the LCM of 6874 and 6887.

LCM(6874,6887) = 2¹ × 7¹ × 491¹ × 71¹ × 97¹
LCM(6874,6887) = 47341238