Least Common Multiple of 9604 and 9611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9604 and 9611 the smallest integer that is 13186292 that is divisible by both numbers.

Least Common Multiple (LCM) of 9604 and 9611 is 13186292.

LCM(9604,9611) = 13186292

LCM of 9604 and 9611

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

LCM of:
and

Least Common Multiple of 9604 and 9611

LCM of 9604 and 9611 is 13186292

Least common multiple can be found by multiplying the highest exponent prime factors of 9604 and 9611. First we will calculate the prime factors of 9604 and 9611.

Prime Factorization of 9604


2 9604
2 4802
7 2401
7 343
7 49
7 7
1

Prime factors of 9604 are 2,7. Prime factorization of 9604 in exponential form is:

9604 = 22×74

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9604 and 9611.

LCM(9604,9611) = 22×74×13731
LCM(9604,9611) = 13186292

Factors of 9604

List of positive integer factors of 9604 that divides 9604 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604

Factors of 9611

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

1, 7, 1373, 9611

Least Common Multiple of 9604 and 9611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9604 and 9611, than apply into the LCM equation.

GCF(9604,9611) = 7
LCM(9604,9611) = ( 9604 × 9611) / 7
LCM(9604,9611) = 92304044 / 7
LCM(9604,9611) = 13186292

Properties of LCM 9604 and 9611

(i) The LCM of 9611 and 9604 is associative

LCM of 9604 and 9611 = LCM of 9611 and 9604

Related Least Common Multiples of 9604

Related Least Common Multiples of 9611

Frequently Asked Questions on LCM of 9604 and 9611

1. What is the LCM of 9604 and 9611?

Answer: LCM of 9604 and 9611 is 13186292.

2. What are the Factors of 9604?

Answer: Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604. There are 15 integers that are factors of 9604. The greatest factor of 9604 is 9604.

3. 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.

4. How to Find the LCM of 9604 and 9611?

Answer:

Least Common Multiple of 9604 and 9611 = 13186292

Step 1: Find the prime factorization of 9604

9604 = 2 x 2 x 7 x 7 x 7 x 7

Step 2: Find the prime factorization of 9611

9611 = 7 x 1373

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

LCM = 13186292 = 2 x 2 x 7 x 7 x 7 x 7 x 1373

Step 4: Therefore, the least common multiple of 9604 and 9611 is 13186292.