Least Common Multiple of 9674 and 9680

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 9680 the smallest integer that is 46822160 that is divisible by both numbers.

Least Common Multiple (LCM) of 9674 and 9680 is 46822160.

LCM(9674,9680) = 46822160

LCM of 9674 and 9680

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

LCM of:
and

Least Common Multiple of 9674 and 9680

LCM of 9674 and 9680 is 46822160

Least common multiple can be found by multiplying the highest exponent prime factors of 9674 and 9680. First we will calculate the prime factors of 9674 and 9680.

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 9680


2 9680
2 4840
2 2420
2 1210
5 605
11 121
11 11
1

Prime factors of 9680 are 2, 5,11. Prime factorization of 9680 in exponential form is:

9680 = 24×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 9674 and 9680.

LCM(9674,9680) = 24×51×71×112×6911
LCM(9674,9680) = 46822160

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 9680

List of positive integer factors of 9680 that divides 9680 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680

Least Common Multiple of 9674 and 9680 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 9680, than apply into the LCM equation.

GCF(9674,9680) = 2
LCM(9674,9680) = ( 9674 × 9680) / 2
LCM(9674,9680) = 93644320 / 2
LCM(9674,9680) = 46822160

Properties of LCM 9674 and 9680

(i) The LCM of 9680 and 9674 is associative

LCM of 9674 and 9680 = LCM of 9680 and 9674

Related Least Common Multiples of 9674

Related Least Common Multiples of 9680

Frequently Asked Questions on LCM of 9674 and 9680

1. What is the LCM of 9674 and 9680?

Answer: LCM of 9674 and 9680 is 46822160.

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 9680?

Answer: Factors of 9680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680. There are 30 integers that are factors of 9680. The greatest factor of 9680 is 9680.

4. How to Find the LCM of 9674 and 9680?

Answer:

Least Common Multiple of 9674 and 9680 = 46822160

Step 1: Find the prime factorization of 9674

9674 = 2 x 7 x 691

Step 2: Find the prime factorization of 9680

9680 = 2 x 2 x 2 x 2 x 5 x 11 x 11

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

LCM = 46822160 = 2 x 2 x 2 x 2 x 5 x 7 x 11 x 11 x 691

Step 4: Therefore, the least common multiple of 9674 and 9680 is 46822160.