What is the Least Common Multiple of 14036 and 14048?

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 14036 and 14048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14036 and 14048, than apply into the LCM equation.

GCF(14036,14048) = 4
LCM(14036,14048) = ( 14036 × 14048) / 4
LCM(14036,14048) = 197177728 / 4
LCM(14036,14048) = 49294432

Least Common Multiple (LCM) of 14036 and 14048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14036 and 14048. First we will calculate the prime factors of 14036 and 14048.

Prime Factorization of 14036

Prime Factorization of 14048

Now multiplying the highest exponent prime factors to calculate the LCM of 14036 and 14048.

LCM(14036,14048) = 2⁵ × 11² × 29¹ × 439¹
LCM(14036,14048) = 49294432