What is the Least Common Multiple of 71856 and 71865?

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 71856 and 71865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71856 and 71865, than apply into the LCM equation.

GCF(71856,71865) = 9
LCM(71856,71865) = ( 71856 × 71865) / 9
LCM(71856,71865) = 5163931440 / 9
LCM(71856,71865) = 573770160

Least Common Multiple (LCM) of 71856 and 71865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71856 and 71865. First we will calculate the prime factors of 71856 and 71865.

Prime Factorization of 71856

Prime Factorization of 71865

Now multiplying the highest exponent prime factors to calculate the LCM of 71856 and 71865.

LCM(71856,71865) = 2⁴ × 3² × 499¹ × 5¹ × 1597¹
LCM(71856,71865) = 573770160