Least Common Multiple of 9596 and 9603

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 9603 the smallest integer that is 92150388 that is divisible by both numbers.

Least Common Multiple (LCM) of 9596 and 9603 is 92150388.

LCM(9596,9603) = 92150388

LCM of 9596 and 9603

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

LCM of:
and

Least Common Multiple of 9596 and 9603

LCM of 9596 and 9603 is 92150388

Least common multiple can be found by multiplying the highest exponent prime factors of 9596 and 9603. First we will calculate the prime factors of 9596 and 9603.

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 9603


3 9603
3 3201
11 1067
97 97
1

Prime factors of 9603 are 3, 11,97. Prime factorization of 9603 in exponential form is:

9603 = 32×111×971

Now multiplying the highest exponent prime factors to calculate the LCM of 9596 and 9603.

LCM(9596,9603) = 22×32×111×971×23991
LCM(9596,9603) = 92150388

Factors of 9596

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

1, 2, 4, 2399, 4798, 9596

Factors of 9603

List of positive integer factors of 9603 that divides 9603 without a remainder.

1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603

Least Common Multiple of 9596 and 9603 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 9603, than apply into the LCM equation.

GCF(9596,9603) = 1
LCM(9596,9603) = ( 9596 × 9603) / 1
LCM(9596,9603) = 92150388 / 1
LCM(9596,9603) = 92150388

Properties of LCM 9596 and 9603

(i) The LCM of 9603 and 9596 is associative

LCM of 9596 and 9603 = LCM of 9603 and 9596

Related Least Common Multiples of 9596

Related Least Common Multiples of 9603

Frequently Asked Questions on LCM of 9596 and 9603

1. What is the LCM of 9596 and 9603?

Answer: LCM of 9596 and 9603 is 92150388.

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 9603?

Answer: Factors of 9603 are 1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603. There are 12 integers that are factors of 9603. The greatest factor of 9603 is 9603.

4. How to Find the LCM of 9596 and 9603?

Answer:

Least Common Multiple of 9596 and 9603 = 92150388

Step 1: Find the prime factorization of 9596

9596 = 2 x 2 x 2399

Step 2: Find the prime factorization of 9603

9603 = 3 x 3 x 11 x 97

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

LCM = 92150388 = 2 x 2 x 3 x 3 x 11 x 97 x 2399

Step 4: Therefore, the least common multiple of 9596 and 9603 is 92150388.