What is the Least Common Multiple of 49864 and 49874?

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 49864 and 49874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49864 and 49874, than apply into the LCM equation.

GCF(49864,49874) = 2
LCM(49864,49874) = ( 49864 × 49874) / 2
LCM(49864,49874) = 2486917136 / 2
LCM(49864,49874) = 1243458568

Least Common Multiple (LCM) of 49864 and 49874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49864 and 49874. First we will calculate the prime factors of 49864 and 49874.

Prime Factorization of 49864

Prime Factorization of 49874

Now multiplying the highest exponent prime factors to calculate the LCM of 49864 and 49874.

LCM(49864,49874) = 2³ × 23¹ × 271¹ × 11¹ × 2267¹
LCM(49864,49874) = 1243458568