GCF and LCM Calculator Logo

What is the Least Common Multiple of 8594 and 8610?

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 8594 and 8610 is 36997170.

LCM(8594,8610) = 36997170

LCM Calculator and
and

Least Common Multiple of 8594 and 8610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8594 and 8610, than apply into the LCM equation.

GCF(8594,8610) = 2
LCM(8594,8610) = ( 8594 × 8610) / 2
LCM(8594,8610) = 73994340 / 2
LCM(8594,8610) = 36997170

Least Common Multiple (LCM) of 8594 and 8610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8594 and 8610. First we will calculate the prime factors of 8594 and 8610.

Prime Factorization of 8594

Prime factors of 8594 are 2, 4297. Prime factorization of 8594 in exponential form is:

8594 = 21 × 42971

Prime Factorization of 8610

Prime factors of 8610 are 2, 3, 5, 7, 41. Prime factorization of 8610 in exponential form is:

8610 = 21 × 31 × 51 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 8594 and 8610.

LCM(8594,8610) = 21 × 42971 × 31 × 51 × 71 × 411
LCM(8594,8610) = 36997170