Least Common Multiple of 8597 and 8601

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 8601 the smallest integer that is 73942797 that is divisible by both numbers.

Least Common Multiple (LCM) of 8597 and 8601 is 73942797.

LCM(8597,8601) = 73942797

LCM of 8597 and 8601

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

LCM of:
and

Least Common Multiple of 8597 and 8601

LCM of 8597 and 8601 is 73942797

Least common multiple can be found by multiplying the highest exponent prime factors of 8597 and 8601. First we will calculate the prime factors of 8597 and 8601.

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 8601


3 8601
47 2867
61 61
1

Prime factors of 8601 are 3, 47,61. Prime factorization of 8601 in exponential form is:

8601 = 31×471×611

Now multiplying the highest exponent prime factors to calculate the LCM of 8597 and 8601.

LCM(8597,8601) = 31×471×611×85971
LCM(8597,8601) = 73942797

Factors of 8597

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

1, 8597

Factors of 8601

List of positive integer factors of 8601 that divides 8601 without a remainder.

1, 3, 47, 61, 141, 183, 2867, 8601

Least Common Multiple of 8597 and 8601 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 8601, than apply into the LCM equation.

GCF(8597,8601) = 1
LCM(8597,8601) = ( 8597 × 8601) / 1
LCM(8597,8601) = 73942797 / 1
LCM(8597,8601) = 73942797

Properties of LCM 8597 and 8601

(i) The LCM of 8601 and 8597 is associative

LCM of 8597 and 8601 = LCM of 8601 and 8597

Related Least Common Multiples of 8597

Related Least Common Multiples of 8601

Frequently Asked Questions on LCM of 8597 and 8601

1. What is the LCM of 8597 and 8601?

Answer: LCM of 8597 and 8601 is 73942797.

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 8601?

Answer: Factors of 8601 are 1, 3, 47, 61, 141, 183, 2867, 8601. There are 8 integers that are factors of 8601. The greatest factor of 8601 is 8601.

4. How to Find the LCM of 8597 and 8601?

Answer:

Least Common Multiple of 8597 and 8601 = 73942797

Step 1: Find the prime factorization of 8597

8597 = 8597

Step 2: Find the prime factorization of 8601

8601 = 3 x 47 x 61

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

LCM = 73942797 = 3 x 47 x 61 x 8597

Step 4: Therefore, the least common multiple of 8597 and 8601 is 73942797.