What is the Least Common Multiple of 71836 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 71836 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 71836 and 71856, than apply into the LCM equation.

GCF(71836,71856) = 4
LCM(71836,71856) = ( 71836 × 71856) / 4
LCM(71836,71856) = 5161847616 / 4
LCM(71836,71856) = 1290461904

Least Common Multiple (LCM) of 71836 and 71856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71836 and 71856. First we will calculate the prime factors of 71836 and 71856.

Prime Factorization of 71836

Prime Factorization of 71856

Now multiplying the highest exponent prime factors to calculate the LCM of 71836 and 71856.

LCM(71836,71856) = 2⁴ × 17959¹ × 3² × 499¹
LCM(71836,71856) = 1290461904