What is the Least Common Multiple of 35856 and 35865?

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 35856 and 35865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35856 and 35865, than apply into the LCM equation.

GCF(35856,35865) = 9
LCM(35856,35865) = ( 35856 × 35865) / 9
LCM(35856,35865) = 1285975440 / 9
LCM(35856,35865) = 142886160

Least Common Multiple (LCM) of 35856 and 35865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35856 and 35865. First we will calculate the prime factors of 35856 and 35865.

Prime Factorization of 35856

Prime Factorization of 35865

Now multiplying the highest exponent prime factors to calculate the LCM of 35856 and 35865.

LCM(35856,35865) = 2⁴ × 3³ × 83¹ × 5¹ × 797¹
LCM(35856,35865) = 142886160