What is the Least Common Multiple of 29089 and 29104?

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 29089 and 29104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29089 and 29104, than apply into the LCM equation.

GCF(29089,29104) = 1
LCM(29089,29104) = ( 29089 × 29104) / 1
LCM(29089,29104) = 846606256 / 1
LCM(29089,29104) = 846606256

Least Common Multiple (LCM) of 29089 and 29104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29089 and 29104. First we will calculate the prime factors of 29089 and 29104.

Prime Factorization of 29089

Prime Factorization of 29104

Now multiplying the highest exponent prime factors to calculate the LCM of 29089 and 29104.

LCM(29089,29104) = 19¹ × 1531¹ × 2⁴ × 17¹ × 107¹
LCM(29089,29104) = 846606256