What is the Least Common Multiple of 29004 and 29008?

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 29004 and 29008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29004 and 29008, than apply into the LCM equation.

GCF(29004,29008) = 4
LCM(29004,29008) = ( 29004 × 29008) / 4
LCM(29004,29008) = 841348032 / 4
LCM(29004,29008) = 210337008

Least Common Multiple (LCM) of 29004 and 29008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29004 and 29008. First we will calculate the prime factors of 29004 and 29008.

Prime Factorization of 29004

Prime Factorization of 29008

Now multiplying the highest exponent prime factors to calculate the LCM of 29004 and 29008.

LCM(29004,29008) = 2⁴ × 3¹ × 2417¹ × 7² × 37¹
LCM(29004,29008) = 210337008