What is the Least Common Multiple of 12849 and 12865?

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 12849 and 12865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12849 and 12865, than apply into the LCM equation.

GCF(12849,12865) = 1
LCM(12849,12865) = ( 12849 × 12865) / 1
LCM(12849,12865) = 165302385 / 1
LCM(12849,12865) = 165302385

Least Common Multiple (LCM) of 12849 and 12865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12849 and 12865. First we will calculate the prime factors of 12849 and 12865.

Prime Factorization of 12849

Prime Factorization of 12865

Now multiplying the highest exponent prime factors to calculate the LCM of 12849 and 12865.

LCM(12849,12865) = 3¹ × 4283¹ × 5¹ × 31¹ × 83¹
LCM(12849,12865) = 165302385