What is the Least Common Multiple of 14048 and 14065?

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 14065 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 14065, than apply into the LCM equation.

GCF(14048,14065) = 1
LCM(14048,14065) = ( 14048 × 14065) / 1
LCM(14048,14065) = 197585120 / 1
LCM(14048,14065) = 197585120

Least Common Multiple (LCM) of 14048 and 14065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14048 and 14065. First we will calculate the prime factors of 14048 and 14065.

Prime Factorization of 14048

Prime Factorization of 14065

Now multiplying the highest exponent prime factors to calculate the LCM of 14048 and 14065.

LCM(14048,14065) = 2⁵ × 439¹ × 5¹ × 29¹ × 97¹
LCM(14048,14065) = 197585120