Least Common Multiple of 9603 and 9609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9603 and 9609 the smallest integer that is 30758409 that is divisible by both numbers.

Least Common Multiple (LCM) of 9603 and 9609 is 30758409.

LCM(9603,9609) = 30758409

LCM of 9603 and 9609

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

LCM of:
and

Least Common Multiple of 9603 and 9609

LCM of 9603 and 9609 is 30758409

Least common multiple can be found by multiplying the highest exponent prime factors of 9603 and 9609. First we will calculate the prime factors of 9603 and 9609.

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

Prime Factorization of 9609


3 9609
3203 3203
1

Prime factors of 9609 are 3,3203. Prime factorization of 9609 in exponential form is:

9609 = 31×32031

Now multiplying the highest exponent prime factors to calculate the LCM of 9603 and 9609.

LCM(9603,9609) = 32×111×971×32031
LCM(9603,9609) = 30758409

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

Factors of 9609

List of positive integer factors of 9609 that divides 9609 without a remainder.

1, 3, 3203, 9609

Least Common Multiple of 9603 and 9609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9603 and 9609, than apply into the LCM equation.

GCF(9603,9609) = 3
LCM(9603,9609) = ( 9603 × 9609) / 3
LCM(9603,9609) = 92275227 / 3
LCM(9603,9609) = 30758409

Properties of LCM 9603 and 9609

(i) The LCM of 9609 and 9603 is associative

LCM of 9603 and 9609 = LCM of 9609 and 9603

Related Least Common Multiples of 9603

Related Least Common Multiples of 9609

Frequently Asked Questions on LCM of 9603 and 9609

1. What is the LCM of 9603 and 9609?

Answer: LCM of 9603 and 9609 is 30758409.

2. 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.

3. What are the Factors of 9609?

Answer: Factors of 9609 are 1, 3, 3203, 9609. There are 4 integers that are factors of 9609. The greatest factor of 9609 is 9609.

4. How to Find the LCM of 9603 and 9609?

Answer:

Least Common Multiple of 9603 and 9609 = 30758409

Step 1: Find the prime factorization of 9603

9603 = 3 x 3 x 11 x 97

Step 2: Find the prime factorization of 9609

9609 = 3 x 3203

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

LCM = 30758409 = 3 x 3 x 11 x 97 x 3203

Step 4: Therefore, the least common multiple of 9603 and 9609 is 30758409.