What is the Least Common Multiple of 6854 and 6874?

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 6854 and 6874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6854 and 6874, than apply into the LCM equation.

GCF(6854,6874) = 2
LCM(6854,6874) = ( 6854 × 6874) / 2
LCM(6854,6874) = 47114396 / 2
LCM(6854,6874) = 23557198

Least Common Multiple (LCM) of 6854 and 6874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6854 and 6874. First we will calculate the prime factors of 6854 and 6874.

Prime Factorization of 6854

Prime Factorization of 6874

Now multiplying the highest exponent prime factors to calculate the LCM of 6854 and 6874.

LCM(6854,6874) = 2¹ × 23¹ × 149¹ × 7¹ × 491¹
LCM(6854,6874) = 23557198