What is the Least Common Multiple of 14048 and 14056?

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 14048 and 14056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14048 and 14056, than apply into the LCM equation.

GCF(14048,14056) = 8
LCM(14048,14056) = ( 14048 × 14056) / 8
LCM(14048,14056) = 197458688 / 8
LCM(14048,14056) = 24682336

Least Common Multiple (LCM) of 14048 and 14056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14048 and 14056. First we will calculate the prime factors of 14048 and 14056.

Prime Factorization of 14048

Prime Factorization of 14056

Now multiplying the highest exponent prime factors to calculate the LCM of 14048 and 14056.

LCM(14048,14056) = 2⁵ × 439¹ × 7¹ × 251¹
LCM(14048,14056) = 24682336