Least Common Multiple of 8594 and 8602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8594 and 8602 the smallest integer that is 36962794 that is divisible by both numbers.

Least Common Multiple (LCM) of 8594 and 8602 is 36962794.

LCM(8594,8602) = 36962794

LCM of 8594 and 8602

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8594 and 8602

LCM of 8594 and 8602 is 36962794

Least common multiple can be found by multiplying the highest exponent prime factors of 8594 and 8602. First we will calculate the prime factors of 8594 and 8602.

Prime Factorization of 8594


2 8594
4297 4297
1

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

8594 = 21×42971

Prime Factorization of 8602


2 8602
11 4301
17 391
23 23
1

Prime factors of 8602 are 2, 11, 17,23. Prime factorization of 8602 in exponential form is:

8602 = 21×111×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8594 and 8602.

LCM(8594,8602) = 21×111×171×231×42971
LCM(8594,8602) = 36962794

Factors of 8594

List of positive integer factors of 8594 that divides 8594 without a remainder.

1, 2, 4297, 8594

Factors of 8602

List of positive integer factors of 8602 that divides 8602 without a remainder.

1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602

Least Common Multiple of 8594 and 8602 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 8602, than apply into the LCM equation.

GCF(8594,8602) = 2
LCM(8594,8602) = ( 8594 × 8602) / 2
LCM(8594,8602) = 73925588 / 2
LCM(8594,8602) = 36962794

Properties of LCM 8594 and 8602

(i) The LCM of 8602 and 8594 is associative

LCM of 8594 and 8602 = LCM of 8602 and 8594

Related Least Common Multiples of 8594

Related Least Common Multiples of 8602

Frequently Asked Questions on LCM of 8594 and 8602

1. What is the LCM of 8594 and 8602?

Answer: LCM of 8594 and 8602 is 36962794.

2. What are the Factors of 8594?

Answer: Factors of 8594 are 1, 2, 4297, 8594. There are 4 integers that are factors of 8594. The greatest factor of 8594 is 8594.

3. What are the Factors of 8602?

Answer: Factors of 8602 are 1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602. There are 16 integers that are factors of 8602. The greatest factor of 8602 is 8602.

4. How to Find the LCM of 8594 and 8602?

Answer:

Least Common Multiple of 8594 and 8602 = 36962794

Step 1: Find the prime factorization of 8594

8594 = 2 x 4297

Step 2: Find the prime factorization of 8602

8602 = 2 x 11 x 17 x 23

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 36962794 = 2 x 11 x 17 x 23 x 4297

Step 4: Therefore, the least common multiple of 8594 and 8602 is 36962794.