Least Common Multiple of 9601 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 9601 and 9603 the smallest integer that is 92198403 that is divisible by both numbers.

Least Common Multiple (LCM) of 9601 and 9603 is 92198403.

LCM(9601,9603) = 92198403

LCM of 9601 and 9603

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

LCM of:
and

Least Common Multiple of 9601 and 9603

LCM of 9601 and 9603 is 92198403

Least common multiple can be found by multiplying the highest exponent prime factors of 9601 and 9603. First we will calculate the prime factors of 9601 and 9603.

Prime Factorization of 9601


9601 9601
1

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

9601 = 96011

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 9601 and 9603.

LCM(9601,9603) = 32×111×971×96011
LCM(9601,9603) = 92198403

Factors of 9601

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

1, 9601

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 9601 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 9601 and 9603, than apply into the LCM equation.

GCF(9601,9603) = 1
LCM(9601,9603) = ( 9601 × 9603) / 1
LCM(9601,9603) = 92198403 / 1
LCM(9601,9603) = 92198403

Properties of LCM 9601 and 9603

(i) The LCM of 9603 and 9601 is associative

LCM of 9601 and 9603 = LCM of 9603 and 9601

Related Least Common Multiples of 9601

Related Least Common Multiples of 9603

Frequently Asked Questions on LCM of 9601 and 9603

1. What is the LCM of 9601 and 9603?

Answer: LCM of 9601 and 9603 is 92198403.

2. 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.

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 9601 and 9603?

Answer:

Least Common Multiple of 9601 and 9603 = 92198403

Step 1: Find the prime factorization of 9601

9601 = 9601

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 = 92198403 = 3 x 3 x 11 x 97 x 9601

Step 4: Therefore, the least common multiple of 9601 and 9603 is 92198403.