Least Common Multiple of 9674 and 9682

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 9682 the smallest integer that is 46831834 that is divisible by both numbers.

Least Common Multiple (LCM) of 9674 and 9682 is 46831834.

LCM(9674,9682) = 46831834

LCM of 9674 and 9682

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

LCM of:
and

Least Common Multiple of 9674 and 9682

LCM of 9674 and 9682 is 46831834

Least common multiple can be found by multiplying the highest exponent prime factors of 9674 and 9682. First we will calculate the prime factors of 9674 and 9682.

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 9682


2 9682
47 4841
103 103
1

Prime factors of 9682 are 2, 47,103. Prime factorization of 9682 in exponential form is:

9682 = 21×471×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9674 and 9682.

LCM(9674,9682) = 21×71×471×1031×6911
LCM(9674,9682) = 46831834

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 9682

List of positive integer factors of 9682 that divides 9682 without a remainder.

1, 2, 47, 94, 103, 206, 4841, 9682

Least Common Multiple of 9674 and 9682 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 9682, than apply into the LCM equation.

GCF(9674,9682) = 2
LCM(9674,9682) = ( 9674 × 9682) / 2
LCM(9674,9682) = 93663668 / 2
LCM(9674,9682) = 46831834

Properties of LCM 9674 and 9682

(i) The LCM of 9682 and 9674 is associative

LCM of 9674 and 9682 = LCM of 9682 and 9674

Related Least Common Multiples of 9674

Related Least Common Multiples of 9682

Frequently Asked Questions on LCM of 9674 and 9682

1. What is the LCM of 9674 and 9682?

Answer: LCM of 9674 and 9682 is 46831834.

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 9682?

Answer: Factors of 9682 are 1, 2, 47, 94, 103, 206, 4841, 9682. There are 8 integers that are factors of 9682. The greatest factor of 9682 is 9682.

4. How to Find the LCM of 9674 and 9682?

Answer:

Least Common Multiple of 9674 and 9682 = 46831834

Step 1: Find the prime factorization of 9674

9674 = 2 x 7 x 691

Step 2: Find the prime factorization of 9682

9682 = 2 x 47 x 103

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

LCM = 46831834 = 2 x 7 x 47 x 103 x 691

Step 4: Therefore, the least common multiple of 9674 and 9682 is 46831834.