What is the Least Common Multiple of 6869 and 6878?

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 6869 and 6878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6869 and 6878, than apply into the LCM equation.

GCF(6869,6878) = 1
LCM(6869,6878) = ( 6869 × 6878) / 1
LCM(6869,6878) = 47244982 / 1
LCM(6869,6878) = 47244982

Least Common Multiple (LCM) of 6869 and 6878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6869 and 6878. First we will calculate the prime factors of 6869 and 6878.

Prime Factorization of 6869

Prime Factorization of 6878

Now multiplying the highest exponent prime factors to calculate the LCM of 6869 and 6878.

LCM(6869,6878) = 6869¹ × 2¹ × 19¹ × 181¹
LCM(6869,6878) = 47244982