What is the Least Common Multiple of 71089 and 71104?

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 71089 and 71104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71089 and 71104, than apply into the LCM equation.

GCF(71089,71104) = 1
LCM(71089,71104) = ( 71089 × 71104) / 1
LCM(71089,71104) = 5054712256 / 1
LCM(71089,71104) = 5054712256

Least Common Multiple (LCM) of 71089 and 71104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71089 and 71104. First we will calculate the prime factors of 71089 and 71104.

Prime Factorization of 71089

Prime Factorization of 71104

Now multiplying the highest exponent prime factors to calculate the LCM of 71089 and 71104.

LCM(71089,71104) = 71089¹ × 2⁶ × 11¹ × 101¹
LCM(71089,71104) = 5054712256