Least Common Multiple of 9611 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 9611 and 9615 the smallest integer that is 92409765 that is divisible by both numbers.

Least Common Multiple (LCM) of 9611 and 9615 is 92409765.

LCM(9611,9615) = 92409765

LCM of 9611 and 9615

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

LCM of:
and

Least Common Multiple of 9611 and 9615

LCM of 9611 and 9615 is 92409765

Least common multiple can be found by multiplying the highest exponent prime factors of 9611 and 9615. First we will calculate the prime factors of 9611 and 9615.

Prime Factorization of 9611


7 9611
1373 1373
1

Prime factors of 9611 are 7,1373. Prime factorization of 9611 in exponential form is:

9611 = 71×13731

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 9611 and 9615.

LCM(9611,9615) = 31×51×71×6411×13731
LCM(9611,9615) = 92409765

Factors of 9611

List of positive integer factors of 9611 that divides 9611 without a remainder.

1, 7, 1373, 9611

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 9611 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 9611 and 9615, than apply into the LCM equation.

GCF(9611,9615) = 1
LCM(9611,9615) = ( 9611 × 9615) / 1
LCM(9611,9615) = 92409765 / 1
LCM(9611,9615) = 92409765

Properties of LCM 9611 and 9615

(i) The LCM of 9615 and 9611 is associative

LCM of 9611 and 9615 = LCM of 9615 and 9611

Related Least Common Multiples of 9611

Related Least Common Multiples of 9615

Frequently Asked Questions on LCM of 9611 and 9615

1. What is the LCM of 9611 and 9615?

Answer: LCM of 9611 and 9615 is 92409765.

2. What are the Factors of 9611?

Answer: Factors of 9611 are 1, 7, 1373, 9611. There are 4 integers that are factors of 9611. The greatest factor of 9611 is 9611.

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 9611 and 9615?

Answer:

Least Common Multiple of 9611 and 9615 = 92409765

Step 1: Find the prime factorization of 9611

9611 = 7 x 1373

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 = 92409765 = 3 x 5 x 7 x 641 x 1373

Step 4: Therefore, the least common multiple of 9611 and 9615 is 92409765.