Least Common Multiple of 9668 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 9668 and 9674 the smallest integer that is 46764116 that is divisible by both numbers.

Least Common Multiple (LCM) of 9668 and 9674 is 46764116.

LCM(9668,9674) = 46764116

LCM of 9668 and 9674

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

LCM of:
and

Least Common Multiple of 9668 and 9674

LCM of 9668 and 9674 is 46764116

Least common multiple can be found by multiplying the highest exponent prime factors of 9668 and 9674. First we will calculate the prime factors of 9668 and 9674.

Prime Factorization of 9668


2 9668
2 4834
2417 2417
1

Prime factors of 9668 are 2,2417. Prime factorization of 9668 in exponential form is:

9668 = 22×24171

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 9668 and 9674.

LCM(9668,9674) = 22×71×6911×24171
LCM(9668,9674) = 46764116

Factors of 9668

List of positive integer factors of 9668 that divides 9668 without a remainder.

1, 2, 4, 2417, 4834, 9668

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 9668 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 9668 and 9674, than apply into the LCM equation.

GCF(9668,9674) = 2
LCM(9668,9674) = ( 9668 × 9674) / 2
LCM(9668,9674) = 93528232 / 2
LCM(9668,9674) = 46764116

Properties of LCM 9668 and 9674

(i) The LCM of 9674 and 9668 is associative

LCM of 9668 and 9674 = LCM of 9674 and 9668

Related Least Common Multiples of 9668

Related Least Common Multiples of 9674

Frequently Asked Questions on LCM of 9668 and 9674

1. What is the LCM of 9668 and 9674?

Answer: LCM of 9668 and 9674 is 46764116.

2. What are the Factors of 9668?

Answer: Factors of 9668 are 1, 2, 4, 2417, 4834, 9668. There are 6 integers that are factors of 9668. The greatest factor of 9668 is 9668.

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 9668 and 9674?

Answer:

Least Common Multiple of 9668 and 9674 = 46764116

Step 1: Find the prime factorization of 9668

9668 = 2 x 2 x 2417

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 = 46764116 = 2 x 2 x 7 x 691 x 2417

Step 4: Therefore, the least common multiple of 9668 and 9674 is 46764116.