What is the Least Common Multiple of 71852 and 71856?

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 71852 and 71856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71852 and 71856, than apply into the LCM equation.

GCF(71852,71856) = 4
LCM(71852,71856) = ( 71852 × 71856) / 4
LCM(71852,71856) = 5162997312 / 4
LCM(71852,71856) = 1290749328

Least Common Multiple (LCM) of 71852 and 71856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71852 and 71856. First we will calculate the prime factors of 71852 and 71856.

Prime Factorization of 71852

Prime Factorization of 71856

Now multiplying the highest exponent prime factors to calculate the LCM of 71852 and 71856.

LCM(71852,71856) = 2⁴ × 11¹ × 23¹ × 71¹ × 3² × 499¹
LCM(71852,71856) = 1290749328