Least Common Multiple of 9670 and 9675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9670 and 9675 the smallest integer that is 18711450 that is divisible by both numbers.

Least Common Multiple (LCM) of 9670 and 9675 is 18711450.

LCM(9670,9675) = 18711450

LCM of 9670 and 9675

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

LCM of:
and

Least Common Multiple of 9670 and 9675

LCM of 9670 and 9675 is 18711450

Least common multiple can be found by multiplying the highest exponent prime factors of 9670 and 9675. First we will calculate the prime factors of 9670 and 9675.

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

Prime Factorization of 9675


3 9675
3 3225
5 1075
5 215
43 43
1

Prime factors of 9675 are 3, 5,43. Prime factorization of 9675 in exponential form is:

9675 = 32×52×431

Now multiplying the highest exponent prime factors to calculate the LCM of 9670 and 9675.

LCM(9670,9675) = 21×32×52×431×9671
LCM(9670,9675) = 18711450

Factors of 9670

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

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

Factors of 9675

List of positive integer factors of 9675 that divides 9675 without a remainder.

1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675

Least Common Multiple of 9670 and 9675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9670 and 9675, than apply into the LCM equation.

GCF(9670,9675) = 5
LCM(9670,9675) = ( 9670 × 9675) / 5
LCM(9670,9675) = 93557250 / 5
LCM(9670,9675) = 18711450

Properties of LCM 9670 and 9675

(i) The LCM of 9675 and 9670 is associative

LCM of 9670 and 9675 = LCM of 9675 and 9670

Related Least Common Multiples of 9670

Related Least Common Multiples of 9675

Frequently Asked Questions on LCM of 9670 and 9675

1. What is the LCM of 9670 and 9675?

Answer: LCM of 9670 and 9675 is 18711450.

2. 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.

3. What are the Factors of 9675?

Answer: Factors of 9675 are 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675. There are 18 integers that are factors of 9675. The greatest factor of 9675 is 9675.

4. How to Find the LCM of 9670 and 9675?

Answer:

Least Common Multiple of 9670 and 9675 = 18711450

Step 1: Find the prime factorization of 9670

9670 = 2 x 5 x 967

Step 2: Find the prime factorization of 9675

9675 = 3 x 3 x 5 x 5 x 43

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

LCM = 18711450 = 2 x 3 x 3 x 5 x 5 x 43 x 967

Step 4: Therefore, the least common multiple of 9670 and 9675 is 18711450.