What is the Least Common Multiple of 3854 and 3874?

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 3854 and 3874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3854 and 3874, than apply into the LCM equation.

GCF(3854,3874) = 2
LCM(3854,3874) = ( 3854 × 3874) / 2
LCM(3854,3874) = 14930396 / 2
LCM(3854,3874) = 7465198

Least Common Multiple (LCM) of 3854 and 3874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3854 and 3874. First we will calculate the prime factors of 3854 and 3874.

Prime Factorization of 3854

Prime Factorization of 3874

Now multiplying the highest exponent prime factors to calculate the LCM of 3854 and 3874.

LCM(3854,3874) = 2¹ × 41¹ × 47¹ × 13¹ × 149¹
LCM(3854,3874) = 7465198