What is the Least Common Multiple of 12865 and 12880?

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 12865 and 12880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12865 and 12880, than apply into the LCM equation.

GCF(12865,12880) = 5
LCM(12865,12880) = ( 12865 × 12880) / 5
LCM(12865,12880) = 165701200 / 5
LCM(12865,12880) = 33140240

Least Common Multiple (LCM) of 12865 and 12880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12865 and 12880. First we will calculate the prime factors of 12865 and 12880.

Prime Factorization of 12865

Prime Factorization of 12880

Now multiplying the highest exponent prime factors to calculate the LCM of 12865 and 12880.

LCM(12865,12880) = 5¹ × 31¹ × 83¹ × 2⁴ × 7¹ × 23¹
LCM(12865,12880) = 33140240