What is the Least Common Multiple of 35836 and 35856?

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 35836 and 35856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35836 and 35856, than apply into the LCM equation.

GCF(35836,35856) = 4
LCM(35836,35856) = ( 35836 × 35856) / 4
LCM(35836,35856) = 1284935616 / 4
LCM(35836,35856) = 321233904

Least Common Multiple (LCM) of 35836 and 35856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35836 and 35856. First we will calculate the prime factors of 35836 and 35856.

Prime Factorization of 35836

Prime Factorization of 35856

Now multiplying the highest exponent prime factors to calculate the LCM of 35836 and 35856.

LCM(35836,35856) = 2⁴ × 17² × 31¹ × 3³ × 83¹
LCM(35836,35856) = 321233904