What is the Least Common Multiple of 85826 and 85839?

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 85826 and 85839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85826 and 85839, than apply into the LCM equation.

GCF(85826,85839) = 13
LCM(85826,85839) = ( 85826 × 85839) / 13
LCM(85826,85839) = 7367218014 / 13
LCM(85826,85839) = 566709078

Least Common Multiple (LCM) of 85826 and 85839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85826 and 85839. First we will calculate the prime factors of 85826 and 85839.

Prime Factorization of 85826

Prime Factorization of 85839

Now multiplying the highest exponent prime factors to calculate the LCM of 85826 and 85839.

LCM(85826,85839) = 2¹ × 13¹ × 3301¹ × 3¹ × 31¹ × 71¹
LCM(85826,85839) = 566709078