GCF and LCM Calculator Logo

What is the Least Common Multiple of 85817 and 85826?

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 (LCM) of 85817 and 85826 is 7365329842.

LCM(85817,85826) = 7365329842

LCM Calculator and
and

Least Common Multiple of 85817 and 85826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85817 and 85826, than apply into the LCM equation.

GCF(85817,85826) = 1
LCM(85817,85826) = ( 85817 × 85826) / 1
LCM(85817,85826) = 7365329842 / 1
LCM(85817,85826) = 7365329842

Least Common Multiple (LCM) of 85817 and 85826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85817 and 85826. First we will calculate the prime factors of 85817 and 85826.

Prime Factorization of 85817

Prime factors of 85817 are 85817. Prime factorization of 85817 in exponential form is:

85817 = 858171

Prime Factorization of 85826

Prime factors of 85826 are 2, 13, 3301. Prime factorization of 85826 in exponential form is:

85826 = 21 × 131 × 33011

Now multiplying the highest exponent prime factors to calculate the LCM of 85817 and 85826.

LCM(85817,85826) = 858171 × 21 × 131 × 33011
LCM(85817,85826) = 7365329842