What is the Least Common Multiple of 49848 and 49864?

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 49848 and 49864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49848 and 49864, than apply into the LCM equation.

GCF(49848,49864) = 8
LCM(49848,49864) = ( 49848 × 49864) / 8
LCM(49848,49864) = 2485620672 / 8
LCM(49848,49864) = 310702584

Least Common Multiple (LCM) of 49848 and 49864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49848 and 49864. First we will calculate the prime factors of 49848 and 49864.

Prime Factorization of 49848

Prime Factorization of 49864

Now multiplying the highest exponent prime factors to calculate the LCM of 49848 and 49864.

LCM(49848,49864) = 2³ × 3¹ × 31¹ × 67¹ × 23¹ × 271¹
LCM(49848,49864) = 310702584