What is the Least Common Multiple of 29121 and 29136?

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 29121 and 29136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29121 and 29136, than apply into the LCM equation.

GCF(29121,29136) = 3
LCM(29121,29136) = ( 29121 × 29136) / 3
LCM(29121,29136) = 848469456 / 3
LCM(29121,29136) = 282823152

Least Common Multiple (LCM) of 29121 and 29136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29121 and 29136. First we will calculate the prime factors of 29121 and 29136.

Prime Factorization of 29121

Prime Factorization of 29136

Now multiplying the highest exponent prime factors to calculate the LCM of 29121 and 29136.

LCM(29121,29136) = 3¹ × 17¹ × 571¹ × 2⁴ × 607¹
LCM(29121,29136) = 282823152