What is the Least Common Multiple of 6878 and 6897?

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 6878 and 6897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6878 and 6897, than apply into the LCM equation.

GCF(6878,6897) = 19
LCM(6878,6897) = ( 6878 × 6897) / 19
LCM(6878,6897) = 47437566 / 19
LCM(6878,6897) = 2496714

Least Common Multiple (LCM) of 6878 and 6897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6878 and 6897. First we will calculate the prime factors of 6878 and 6897.

Prime Factorization of 6878

Prime Factorization of 6897

Now multiplying the highest exponent prime factors to calculate the LCM of 6878 and 6897.

LCM(6878,6897) = 2¹ × 19¹ × 181¹ × 3¹ × 11²
LCM(6878,6897) = 2496714