Least Common Multiple of 9666 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 9666 and 9674 the smallest integer that is 46754442 that is divisible by both numbers.

Least Common Multiple (LCM) of 9666 and 9674 is 46754442.

LCM(9666,9674) = 46754442

LCM of 9666 and 9674

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

LCM of:
and

Least Common Multiple of 9666 and 9674

LCM of 9666 and 9674 is 46754442

Least common multiple can be found by multiplying the highest exponent prime factors of 9666 and 9674. First we will calculate the prime factors of 9666 and 9674.

Prime Factorization of 9666


2 9666
3 4833
3 1611
3 537
179 179
1

Prime factors of 9666 are 2, 3,179. Prime factorization of 9666 in exponential form is:

9666 = 21×33×1791

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 9666 and 9674.

LCM(9666,9674) = 21×33×71×1791×6911
LCM(9666,9674) = 46754442

Factors of 9666

List of positive integer factors of 9666 that divides 9666 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666

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 9666 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 9666 and 9674, than apply into the LCM equation.

GCF(9666,9674) = 2
LCM(9666,9674) = ( 9666 × 9674) / 2
LCM(9666,9674) = 93508884 / 2
LCM(9666,9674) = 46754442

Properties of LCM 9666 and 9674

(i) The LCM of 9674 and 9666 is associative

LCM of 9666 and 9674 = LCM of 9674 and 9666

Related Least Common Multiples of 9666

Related Least Common Multiples of 9674

Frequently Asked Questions on LCM of 9666 and 9674

1. What is the LCM of 9666 and 9674?

Answer: LCM of 9666 and 9674 is 46754442.

2. What are the Factors of 9666?

Answer: Factors of 9666 are 1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666. There are 16 integers that are factors of 9666. The greatest factor of 9666 is 9666.

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 9666 and 9674?

Answer:

Least Common Multiple of 9666 and 9674 = 46754442

Step 1: Find the prime factorization of 9666

9666 = 2 x 3 x 3 x 3 x 179

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 = 46754442 = 2 x 3 x 3 x 3 x 7 x 179 x 691

Step 4: Therefore, the least common multiple of 9666 and 9674 is 46754442.