Least Common Multiple of 9596 and 9602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9596 and 9602 the smallest integer that is 46070396 that is divisible by both numbers.

Least Common Multiple (LCM) of 9596 and 9602 is 46070396.

LCM(9596,9602) = 46070396

LCM of 9596 and 9602

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

LCM of:
and

Least Common Multiple of 9596 and 9602

LCM of 9596 and 9602 is 46070396

Least common multiple can be found by multiplying the highest exponent prime factors of 9596 and 9602. First we will calculate the prime factors of 9596 and 9602.

Prime Factorization of 9596


2 9596
2 4798
2399 2399
1

Prime factors of 9596 are 2,2399. Prime factorization of 9596 in exponential form is:

9596 = 22×23991

Prime Factorization of 9602


2 9602
4801 4801
1

Prime factors of 9602 are 2,4801. Prime factorization of 9602 in exponential form is:

9602 = 21×48011

Now multiplying the highest exponent prime factors to calculate the LCM of 9596 and 9602.

LCM(9596,9602) = 22×23991×48011
LCM(9596,9602) = 46070396

Factors of 9596

List of positive integer factors of 9596 that divides 9596 without a remainder.

1, 2, 4, 2399, 4798, 9596

Factors of 9602

List of positive integer factors of 9602 that divides 9602 without a remainder.

1, 2, 4801, 9602

Least Common Multiple of 9596 and 9602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9596 and 9602, than apply into the LCM equation.

GCF(9596,9602) = 2
LCM(9596,9602) = ( 9596 × 9602) / 2
LCM(9596,9602) = 92140792 / 2
LCM(9596,9602) = 46070396

Properties of LCM 9596 and 9602

(i) The LCM of 9602 and 9596 is associative

LCM of 9596 and 9602 = LCM of 9602 and 9596

Related Least Common Multiples of 9596

Related Least Common Multiples of 9602

Frequently Asked Questions on LCM of 9596 and 9602

1. What is the LCM of 9596 and 9602?

Answer: LCM of 9596 and 9602 is 46070396.

2. What are the Factors of 9596?

Answer: Factors of 9596 are 1, 2, 4, 2399, 4798, 9596. There are 6 integers that are factors of 9596. The greatest factor of 9596 is 9596.

3. What are the Factors of 9602?

Answer: Factors of 9602 are 1, 2, 4801, 9602. There are 4 integers that are factors of 9602. The greatest factor of 9602 is 9602.

4. How to Find the LCM of 9596 and 9602?

Answer:

Least Common Multiple of 9596 and 9602 = 46070396

Step 1: Find the prime factorization of 9596

9596 = 2 x 2 x 2399

Step 2: Find the prime factorization of 9602

9602 = 2 x 4801

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

LCM = 46070396 = 2 x 2 x 2399 x 4801

Step 4: Therefore, the least common multiple of 9596 and 9602 is 46070396.