Least Common Multiple of 9665 and 9670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9665 and 9670 the smallest integer that is 18692110 that is divisible by both numbers.

Least Common Multiple (LCM) of 9665 and 9670 is 18692110.

LCM(9665,9670) = 18692110

LCM of 9665 and 9670

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

LCM of:
and

Least Common Multiple of 9665 and 9670

LCM of 9665 and 9670 is 18692110

Least common multiple can be found by multiplying the highest exponent prime factors of 9665 and 9670. First we will calculate the prime factors of 9665 and 9670.

Prime Factorization of 9665


5 9665
1933 1933
1

Prime factors of 9665 are 5,1933. Prime factorization of 9665 in exponential form is:

9665 = 51×19331

Prime Factorization of 9670


2 9670
5 4835
967 967
1

Prime factors of 9670 are 2, 5,967. Prime factorization of 9670 in exponential form is:

9670 = 21×51×9671

Now multiplying the highest exponent prime factors to calculate the LCM of 9665 and 9670.

LCM(9665,9670) = 21×51×9671×19331
LCM(9665,9670) = 18692110

Factors of 9665

List of positive integer factors of 9665 that divides 9665 without a remainder.

1, 5, 1933, 9665

Factors of 9670

List of positive integer factors of 9670 that divides 9670 without a remainder.

1, 2, 5, 10, 967, 1934, 4835, 9670

Least Common Multiple of 9665 and 9670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9665 and 9670, than apply into the LCM equation.

GCF(9665,9670) = 5
LCM(9665,9670) = ( 9665 × 9670) / 5
LCM(9665,9670) = 93460550 / 5
LCM(9665,9670) = 18692110

Properties of LCM 9665 and 9670

(i) The LCM of 9670 and 9665 is associative

LCM of 9665 and 9670 = LCM of 9670 and 9665

Related Least Common Multiples of 9665

Related Least Common Multiples of 9670

Frequently Asked Questions on LCM of 9665 and 9670

1. What is the LCM of 9665 and 9670?

Answer: LCM of 9665 and 9670 is 18692110.

2. What are the Factors of 9665?

Answer: Factors of 9665 are 1, 5, 1933, 9665. There are 4 integers that are factors of 9665. The greatest factor of 9665 is 9665.

3. What are the Factors of 9670?

Answer: Factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670. There are 8 integers that are factors of 9670. The greatest factor of 9670 is 9670.

4. How to Find the LCM of 9665 and 9670?

Answer:

Least Common Multiple of 9665 and 9670 = 18692110

Step 1: Find the prime factorization of 9665

9665 = 5 x 1933

Step 2: Find the prime factorization of 9670

9670 = 2 x 5 x 967

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

LCM = 18692110 = 2 x 5 x 967 x 1933

Step 4: Therefore, the least common multiple of 9665 and 9670 is 18692110.