What is the Least Common Multiple of 11854 and 11874?

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 11854 and 11874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11854 and 11874, than apply into the LCM equation.

GCF(11854,11874) = 2
LCM(11854,11874) = ( 11854 × 11874) / 2
LCM(11854,11874) = 140754396 / 2
LCM(11854,11874) = 70377198

Least Common Multiple (LCM) of 11854 and 11874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11854 and 11874. First we will calculate the prime factors of 11854 and 11874.

Prime Factorization of 11854

Prime Factorization of 11874

Now multiplying the highest exponent prime factors to calculate the LCM of 11854 and 11874.

LCM(11854,11874) = 2¹ × 5927¹ × 3¹ × 1979¹
LCM(11854,11874) = 70377198