Least Common Multiple of 9609 and 9615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9609 and 9615 the smallest integer that is 30796845 that is divisible by both numbers.

Least Common Multiple (LCM) of 9609 and 9615 is 30796845.

LCM(9609,9615) = 30796845

LCM of 9609 and 9615

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

LCM of:
and

Least Common Multiple of 9609 and 9615

LCM of 9609 and 9615 is 30796845

Least common multiple can be found by multiplying the highest exponent prime factors of 9609 and 9615. First we will calculate the prime factors of 9609 and 9615.

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

Prime Factorization of 9615


3 9615
5 3205
641 641
1

Prime factors of 9615 are 3, 5,641. Prime factorization of 9615 in exponential form is:

9615 = 31×51×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 9609 and 9615.

LCM(9609,9615) = 31×51×6411×32031
LCM(9609,9615) = 30796845

Factors of 9609

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

1, 3, 3203, 9609

Factors of 9615

List of positive integer factors of 9615 that divides 9615 without a remainder.

1, 3, 5, 15, 641, 1923, 3205, 9615

Least Common Multiple of 9609 and 9615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9609 and 9615, than apply into the LCM equation.

GCF(9609,9615) = 3
LCM(9609,9615) = ( 9609 × 9615) / 3
LCM(9609,9615) = 92390535 / 3
LCM(9609,9615) = 30796845

Properties of LCM 9609 and 9615

(i) The LCM of 9615 and 9609 is associative

LCM of 9609 and 9615 = LCM of 9615 and 9609

Related Least Common Multiples of 9609

Related Least Common Multiples of 9615

Frequently Asked Questions on LCM of 9609 and 9615

1. What is the LCM of 9609 and 9615?

Answer: LCM of 9609 and 9615 is 30796845.

2. 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.

3. What are the Factors of 9615?

Answer: Factors of 9615 are 1, 3, 5, 15, 641, 1923, 3205, 9615. There are 8 integers that are factors of 9615. The greatest factor of 9615 is 9615.

4. How to Find the LCM of 9609 and 9615?

Answer:

Least Common Multiple of 9609 and 9615 = 30796845

Step 1: Find the prime factorization of 9609

9609 = 3 x 3203

Step 2: Find the prime factorization of 9615

9615 = 3 x 5 x 641

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

LCM = 30796845 = 3 x 5 x 641 x 3203

Step 4: Therefore, the least common multiple of 9609 and 9615 is 30796845.