Least Common Multiple of 9674 and 9681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9674 and 9681 the smallest integer that is 13379142 that is divisible by both numbers.

Least Common Multiple (LCM) of 9674 and 9681 is 13379142.

LCM(9674,9681) = 13379142

LCM of 9674 and 9681

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

LCM of:
and

Least Common Multiple of 9674 and 9681

LCM of 9674 and 9681 is 13379142

Least common multiple can be found by multiplying the highest exponent prime factors of 9674 and 9681. First we will calculate the prime factors of 9674 and 9681.

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

Prime Factorization of 9681


3 9681
7 3227
461 461
1

Prime factors of 9681 are 3, 7,461. Prime factorization of 9681 in exponential form is:

9681 = 31×71×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 9674 and 9681.

LCM(9674,9681) = 21×31×71×4611×6911
LCM(9674,9681) = 13379142

Factors of 9674

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

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

Factors of 9681

List of positive integer factors of 9681 that divides 9681 without a remainder.

1, 3, 7, 21, 461, 1383, 3227, 9681

Least Common Multiple of 9674 and 9681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9674 and 9681, than apply into the LCM equation.

GCF(9674,9681) = 7
LCM(9674,9681) = ( 9674 × 9681) / 7
LCM(9674,9681) = 93653994 / 7
LCM(9674,9681) = 13379142

Properties of LCM 9674 and 9681

(i) The LCM of 9681 and 9674 is associative

LCM of 9674 and 9681 = LCM of 9681 and 9674

Related Least Common Multiples of 9674

Related Least Common Multiples of 9681

Frequently Asked Questions on LCM of 9674 and 9681

1. What is the LCM of 9674 and 9681?

Answer: LCM of 9674 and 9681 is 13379142.

2. 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.

3. What are the Factors of 9681?

Answer: Factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681. There are 8 integers that are factors of 9681. The greatest factor of 9681 is 9681.

4. How to Find the LCM of 9674 and 9681?

Answer:

Least Common Multiple of 9674 and 9681 = 13379142

Step 1: Find the prime factorization of 9674

9674 = 2 x 7 x 691

Step 2: Find the prime factorization of 9681

9681 = 3 x 7 x 461

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

LCM = 13379142 = 2 x 3 x 7 x 461 x 691

Step 4: Therefore, the least common multiple of 9674 and 9681 is 13379142.