Least Common Multiple of 9667 and 9674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9667 and 9674 the smallest integer that is 13359794 that is divisible by both numbers.

Least Common Multiple (LCM) of 9667 and 9674 is 13359794.

LCM(9667,9674) = 13359794

LCM of 9667 and 9674

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

LCM of:
and

Least Common Multiple of 9667 and 9674

LCM of 9667 and 9674 is 13359794

Least common multiple can be found by multiplying the highest exponent prime factors of 9667 and 9674. First we will calculate the prime factors of 9667 and 9674.

Prime Factorization of 9667


7 9667
1381 1381
1

Prime factors of 9667 are 7,1381. Prime factorization of 9667 in exponential form is:

9667 = 71×13811

Prime Factorization of 9674


2 9674
7 4837
691 691
1

Prime factors of 9674 are 2, 7,691. Prime factorization of 9674 in exponential form is:

9674 = 21×71×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 9667 and 9674.

LCM(9667,9674) = 21×71×6911×13811
LCM(9667,9674) = 13359794

Factors of 9667

List of positive integer factors of 9667 that divides 9667 without a remainder.

1, 7, 1381, 9667

Factors of 9674

List of positive integer factors of 9674 that divides 9674 without a remainder.

1, 2, 7, 14, 691, 1382, 4837, 9674

Least Common Multiple of 9667 and 9674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9667 and 9674, than apply into the LCM equation.

GCF(9667,9674) = 7
LCM(9667,9674) = ( 9667 × 9674) / 7
LCM(9667,9674) = 93518558 / 7
LCM(9667,9674) = 13359794

Properties of LCM 9667 and 9674

(i) The LCM of 9674 and 9667 is associative

LCM of 9667 and 9674 = LCM of 9674 and 9667

Related Least Common Multiples of 9667

Related Least Common Multiples of 9674

Frequently Asked Questions on LCM of 9667 and 9674

1. What is the LCM of 9667 and 9674?

Answer: LCM of 9667 and 9674 is 13359794.

2. What are the Factors of 9667?

Answer: Factors of 9667 are 1, 7, 1381, 9667. There are 4 integers that are factors of 9667. The greatest factor of 9667 is 9667.

3. What are the Factors of 9674?

Answer: Factors of 9674 are 1, 2, 7, 14, 691, 1382, 4837, 9674. There are 8 integers that are factors of 9674. The greatest factor of 9674 is 9674.

4. How to Find the LCM of 9667 and 9674?

Answer:

Least Common Multiple of 9667 and 9674 = 13359794

Step 1: Find the prime factorization of 9667

9667 = 7 x 1381

Step 2: Find the prime factorization of 9674

9674 = 2 x 7 x 691

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

LCM = 13359794 = 2 x 7 x 691 x 1381

Step 4: Therefore, the least common multiple of 9667 and 9674 is 13359794.