Least Common Multiple of 9664 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 9664 and 9670 the smallest integer that is 46725440 that is divisible by both numbers.

Least Common Multiple (LCM) of 9664 and 9670 is 46725440.

LCM(9664,9670) = 46725440

LCM of 9664 and 9670

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

LCM of:
and

Least Common Multiple of 9664 and 9670

LCM of 9664 and 9670 is 46725440

Least common multiple can be found by multiplying the highest exponent prime factors of 9664 and 9670. First we will calculate the prime factors of 9664 and 9670.

Prime Factorization of 9664


2 9664
2 4832
2 2416
2 1208
2 604
2 302
151 151
1

Prime factors of 9664 are 2,151. Prime factorization of 9664 in exponential form is:

9664 = 26×1511

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 9664 and 9670.

LCM(9664,9670) = 26×51×1511×9671
LCM(9664,9670) = 46725440

Factors of 9664

List of positive integer factors of 9664 that divides 9664 without a remainder.

1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664

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 9664 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 9664 and 9670, than apply into the LCM equation.

GCF(9664,9670) = 2
LCM(9664,9670) = ( 9664 × 9670) / 2
LCM(9664,9670) = 93450880 / 2
LCM(9664,9670) = 46725440

Properties of LCM 9664 and 9670

(i) The LCM of 9670 and 9664 is associative

LCM of 9664 and 9670 = LCM of 9670 and 9664

Related Least Common Multiples of 9664

Related Least Common Multiples of 9670

Frequently Asked Questions on LCM of 9664 and 9670

1. What is the LCM of 9664 and 9670?

Answer: LCM of 9664 and 9670 is 46725440.

2. What are the Factors of 9664?

Answer: Factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664. There are 14 integers that are factors of 9664. The greatest factor of 9664 is 9664.

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 9664 and 9670?

Answer:

Least Common Multiple of 9664 and 9670 = 46725440

Step 1: Find the prime factorization of 9664

9664 = 2 x 2 x 2 x 2 x 2 x 2 x 151

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 = 46725440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 151 x 967

Step 4: Therefore, the least common multiple of 9664 and 9670 is 46725440.