Least Common Multiple of 9609 and 9614

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 9614 the smallest integer that is 92380926 that is divisible by both numbers.

Least Common Multiple (LCM) of 9609 and 9614 is 92380926.

LCM(9609,9614) = 92380926

LCM of 9609 and 9614

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

LCM of:
and

Least Common Multiple of 9609 and 9614

LCM of 9609 and 9614 is 92380926

Least common multiple can be found by multiplying the highest exponent prime factors of 9609 and 9614. First we will calculate the prime factors of 9609 and 9614.

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 9614


2 9614
11 4807
19 437
23 23
1

Prime factors of 9614 are 2, 11, 19,23. Prime factorization of 9614 in exponential form is:

9614 = 21×111×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 9609 and 9614.

LCM(9609,9614) = 21×31×111×191×231×32031
LCM(9609,9614) = 92380926

Factors of 9609

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

1, 3, 3203, 9609

Factors of 9614

List of positive integer factors of 9614 that divides 9614 without a remainder.

1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614

Least Common Multiple of 9609 and 9614 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 9614, than apply into the LCM equation.

GCF(9609,9614) = 1
LCM(9609,9614) = ( 9609 × 9614) / 1
LCM(9609,9614) = 92380926 / 1
LCM(9609,9614) = 92380926

Properties of LCM 9609 and 9614

(i) The LCM of 9614 and 9609 is associative

LCM of 9609 and 9614 = LCM of 9614 and 9609

Related Least Common Multiples of 9609

Related Least Common Multiples of 9614

Frequently Asked Questions on LCM of 9609 and 9614

1. What is the LCM of 9609 and 9614?

Answer: LCM of 9609 and 9614 is 92380926.

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 9614?

Answer: Factors of 9614 are 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614. There are 16 integers that are factors of 9614. The greatest factor of 9614 is 9614.

4. How to Find the LCM of 9609 and 9614?

Answer:

Least Common Multiple of 9609 and 9614 = 92380926

Step 1: Find the prime factorization of 9609

9609 = 3 x 3203

Step 2: Find the prime factorization of 9614

9614 = 2 x 11 x 19 x 23

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

LCM = 92380926 = 2 x 3 x 11 x 19 x 23 x 3203

Step 4: Therefore, the least common multiple of 9609 and 9614 is 92380926.