What is the Least Common Multiple of 26008 and 26014?

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 26008 and 26014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26008 and 26014, than apply into the LCM equation.

GCF(26008,26014) = 2
LCM(26008,26014) = ( 26008 × 26014) / 2
LCM(26008,26014) = 676572112 / 2
LCM(26008,26014) = 338286056

Least Common Multiple (LCM) of 26008 and 26014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26008 and 26014. First we will calculate the prime factors of 26008 and 26014.

Prime Factorization of 26008

Prime Factorization of 26014

Now multiplying the highest exponent prime factors to calculate the LCM of 26008 and 26014.

LCM(26008,26014) = 2³ × 3251¹ × 13007¹
LCM(26008,26014) = 338286056