What is the Least Common Multiple of 65833 and 65839?

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 65833 and 65839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65833 and 65839, than apply into the LCM equation.

GCF(65833,65839) = 1
LCM(65833,65839) = ( 65833 × 65839) / 1
LCM(65833,65839) = 4334378887 / 1
LCM(65833,65839) = 4334378887

Least Common Multiple (LCM) of 65833 and 65839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65833 and 65839. First we will calculate the prime factors of 65833 and 65839.

Prime Factorization of 65833

Prime Factorization of 65839

Now multiplying the highest exponent prime factors to calculate the LCM of 65833 and 65839.

LCM(65833,65839) = 43¹ × 1531¹ × 65839¹
LCM(65833,65839) = 4334378887