What is the Least Common Multiple of 6874 and 6888?

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 6888 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 6888, than apply into the LCM equation.

GCF(6874,6888) = 14
LCM(6874,6888) = ( 6874 × 6888) / 14
LCM(6874,6888) = 47348112 / 14
LCM(6874,6888) = 3382008

Least Common Multiple (LCM) of 6874 and 6888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6874 and 6888. First we will calculate the prime factors of 6874 and 6888.

Prime Factorization of 6874

Prime Factorization of 6888

Now multiplying the highest exponent prime factors to calculate the LCM of 6874 and 6888.

LCM(6874,6888) = 2³ × 7¹ × 491¹ × 3¹ × 41¹
LCM(6874,6888) = 3382008