What is the Least Common Multiple of 35838 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 35838 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 35838 and 35856, than apply into the LCM equation.

GCF(35838,35856) = 18
LCM(35838,35856) = ( 35838 × 35856) / 18
LCM(35838,35856) = 1285007328 / 18
LCM(35838,35856) = 71389296

Least Common Multiple (LCM) of 35838 and 35856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35838 and 35856. First we will calculate the prime factors of 35838 and 35856.

Prime Factorization of 35838

Prime Factorization of 35856

Now multiplying the highest exponent prime factors to calculate the LCM of 35838 and 35856.

LCM(35838,35856) = 2⁴ × 3³ × 11¹ × 181¹ × 83¹
LCM(35838,35856) = 71389296