What is the Least Common Multiple of 12008 and 12026?

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 12008 and 12026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12008 and 12026, than apply into the LCM equation.

GCF(12008,12026) = 2
LCM(12008,12026) = ( 12008 × 12026) / 2
LCM(12008,12026) = 144408208 / 2
LCM(12008,12026) = 72204104

Least Common Multiple (LCM) of 12008 and 12026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12008 and 12026. First we will calculate the prime factors of 12008 and 12026.

Prime Factorization of 12008

Prime Factorization of 12026

Now multiplying the highest exponent prime factors to calculate the LCM of 12008 and 12026.

LCM(12008,12026) = 2³ × 19¹ × 79¹ × 7¹ × 859¹
LCM(12008,12026) = 72204104