Least Common Multiple of 8597 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 8597 and 8602 the smallest integer that is 73951394 that is divisible by both numbers.

Least Common Multiple (LCM) of 8597 and 8602 is 73951394.

LCM(8597,8602) = 73951394

LCM of 8597 and 8602

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

LCM of:
and

Least Common Multiple of 8597 and 8602

LCM of 8597 and 8602 is 73951394

Least common multiple can be found by multiplying the highest exponent prime factors of 8597 and 8602. First we will calculate the prime factors of 8597 and 8602.

Prime Factorization of 8597


8597 8597
1

Prime factors of 8597 are 8597. Prime factorization of 8597 in exponential form is:

8597 = 85971

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 8597 and 8602.

LCM(8597,8602) = 21×111×171×231×85971
LCM(8597,8602) = 73951394

Factors of 8597

List of positive integer factors of 8597 that divides 8597 without a remainder.

1, 8597

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 8597 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 8597 and 8602, than apply into the LCM equation.

GCF(8597,8602) = 1
LCM(8597,8602) = ( 8597 × 8602) / 1
LCM(8597,8602) = 73951394 / 1
LCM(8597,8602) = 73951394

Properties of LCM 8597 and 8602

(i) The LCM of 8602 and 8597 is associative

LCM of 8597 and 8602 = LCM of 8602 and 8597

Related Least Common Multiples of 8597

Related Least Common Multiples of 8602

Frequently Asked Questions on LCM of 8597 and 8602

1. What is the LCM of 8597 and 8602?

Answer: LCM of 8597 and 8602 is 73951394.

2. What are the Factors of 8597?

Answer: Factors of 8597 are 1, 8597. There are 2 integers that are factors of 8597. The greatest factor of 8597 is 8597.

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 8597 and 8602?

Answer:

Least Common Multiple of 8597 and 8602 = 73951394

Step 1: Find the prime factorization of 8597

8597 = 8597

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 = 73951394 = 2 x 11 x 17 x 23 x 8597

Step 4: Therefore, the least common multiple of 8597 and 8602 is 73951394.