What is the Least Common Multiple of 14801 and 14815?

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 14801 and 14815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14801 and 14815, than apply into the LCM equation.

GCF(14801,14815) = 1
LCM(14801,14815) = ( 14801 × 14815) / 1
LCM(14801,14815) = 219276815 / 1
LCM(14801,14815) = 219276815

Least Common Multiple (LCM) of 14801 and 14815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14801 and 14815. First we will calculate the prime factors of 14801 and 14815.

Prime Factorization of 14801

Prime Factorization of 14815

Now multiplying the highest exponent prime factors to calculate the LCM of 14801 and 14815.

LCM(14801,14815) = 19² × 41¹ × 5¹ × 2963¹
LCM(14801,14815) = 219276815