Least Common Multiple of 9597 and 9601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9597 and 9601 the smallest integer that is 92140797 that is divisible by both numbers.

Least Common Multiple (LCM) of 9597 and 9601 is 92140797.

LCM(9597,9601) = 92140797

LCM of 9597 and 9601

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

LCM of:
and

Least Common Multiple of 9597 and 9601

LCM of 9597 and 9601 is 92140797

Least common multiple can be found by multiplying the highest exponent prime factors of 9597 and 9601. First we will calculate the prime factors of 9597 and 9601.

Prime Factorization of 9597


3 9597
7 3199
457 457
1

Prime factors of 9597 are 3, 7,457. Prime factorization of 9597 in exponential form is:

9597 = 31×71×4571

Prime Factorization of 9601


9601 9601
1

Prime factors of 9601 are 9601. Prime factorization of 9601 in exponential form is:

9601 = 96011

Now multiplying the highest exponent prime factors to calculate the LCM of 9597 and 9601.

LCM(9597,9601) = 31×71×4571×96011
LCM(9597,9601) = 92140797

Factors of 9597

List of positive integer factors of 9597 that divides 9597 without a remainder.

1, 3, 7, 21, 457, 1371, 3199, 9597

Factors of 9601

List of positive integer factors of 9601 that divides 9601 without a remainder.

1, 9601

Least Common Multiple of 9597 and 9601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9597 and 9601, than apply into the LCM equation.

GCF(9597,9601) = 1
LCM(9597,9601) = ( 9597 × 9601) / 1
LCM(9597,9601) = 92140797 / 1
LCM(9597,9601) = 92140797

Properties of LCM 9597 and 9601

(i) The LCM of 9601 and 9597 is associative

LCM of 9597 and 9601 = LCM of 9601 and 9597

Related Least Common Multiples of 9597

Related Least Common Multiples of 9601

Frequently Asked Questions on LCM of 9597 and 9601

1. What is the LCM of 9597 and 9601?

Answer: LCM of 9597 and 9601 is 92140797.

2. What are the Factors of 9597?

Answer: Factors of 9597 are 1, 3, 7, 21, 457, 1371, 3199, 9597. There are 8 integers that are factors of 9597. The greatest factor of 9597 is 9597.

3. What are the Factors of 9601?

Answer: Factors of 9601 are 1, 9601. There are 2 integers that are factors of 9601. The greatest factor of 9601 is 9601.

4. How to Find the LCM of 9597 and 9601?

Answer:

Least Common Multiple of 9597 and 9601 = 92140797

Step 1: Find the prime factorization of 9597

9597 = 3 x 7 x 457

Step 2: Find the prime factorization of 9601

9601 = 9601

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

LCM = 92140797 = 3 x 7 x 457 x 9601

Step 4: Therefore, the least common multiple of 9597 and 9601 is 92140797.