What is the Least Common Multiple of 36842 and 36859?

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 36842 and 36859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36842 and 36859, than apply into the LCM equation.

GCF(36842,36859) = 1
LCM(36842,36859) = ( 36842 × 36859) / 1
LCM(36842,36859) = 1357959278 / 1
LCM(36842,36859) = 1357959278

Least Common Multiple (LCM) of 36842 and 36859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36842 and 36859. First we will calculate the prime factors of 36842 and 36859.

Prime Factorization of 36842

Prime Factorization of 36859

Now multiplying the highest exponent prime factors to calculate the LCM of 36842 and 36859.

LCM(36842,36859) = 2¹ × 13² × 109¹ × 29¹ × 31¹ × 41¹
LCM(36842,36859) = 1357959278