What is the Least Common Multiple of 15005 and 15014?

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 15005 and 15014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15005 and 15014, than apply into the LCM equation.

GCF(15005,15014) = 1
LCM(15005,15014) = ( 15005 × 15014) / 1
LCM(15005,15014) = 225285070 / 1
LCM(15005,15014) = 225285070

Least Common Multiple (LCM) of 15005 and 15014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15005 and 15014. First we will calculate the prime factors of 15005 and 15014.

Prime Factorization of 15005

Prime Factorization of 15014

Now multiplying the highest exponent prime factors to calculate the LCM of 15005 and 15014.

LCM(15005,15014) = 5¹ × 3001¹ × 2¹ × 7507¹
LCM(15005,15014) = 225285070