Least Common Multiple of 9366 and 9374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9366 and 9374 the smallest integer that is 43898442 that is divisible by both numbers.

Least Common Multiple (LCM) of 9366 and 9374 is 43898442.

LCM(9366,9374) = 43898442

LCM of 9366 and 9374

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

LCM of:
and

Least Common Multiple of 9366 and 9374

LCM of 9366 and 9374 is 43898442

Least common multiple can be found by multiplying the highest exponent prime factors of 9366 and 9374. First we will calculate the prime factors of 9366 and 9374.

Prime Factorization of 9366


2 9366
3 4683
7 1561
223 223
1

Prime factors of 9366 are 2, 3, 7,223. Prime factorization of 9366 in exponential form is:

9366 = 21×31×71×2231

Prime Factorization of 9374


2 9374
43 4687
109 109
1

Prime factors of 9374 are 2, 43,109. Prime factorization of 9374 in exponential form is:

9374 = 21×431×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9366 and 9374.

LCM(9366,9374) = 21×31×71×431×1091×2231
LCM(9366,9374) = 43898442

Factors of 9366

List of positive integer factors of 9366 that divides 9366 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 223, 446, 669, 1338, 1561, 3122, 4683, 9366

Factors of 9374

List of positive integer factors of 9374 that divides 9374 without a remainder.

1, 2, 43, 86, 109, 218, 4687, 9374

Least Common Multiple of 9366 and 9374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9366 and 9374, than apply into the LCM equation.

GCF(9366,9374) = 2
LCM(9366,9374) = ( 9366 × 9374) / 2
LCM(9366,9374) = 87796884 / 2
LCM(9366,9374) = 43898442

Properties of LCM 9366 and 9374

(i) The LCM of 9374 and 9366 is associative

LCM of 9366 and 9374 = LCM of 9374 and 9366

Related Least Common Multiples of 9366

Related Least Common Multiples of 9374

Frequently Asked Questions on LCM of 9366 and 9374

1. What is the LCM of 9366 and 9374?

Answer: LCM of 9366 and 9374 is 43898442.

2. What are the Factors of 9366?

Answer: Factors of 9366 are 1, 2, 3, 6, 7, 14, 21, 42, 223, 446, 669, 1338, 1561, 3122, 4683, 9366. There are 16 integers that are factors of 9366. The greatest factor of 9366 is 9366.

3. What are the Factors of 9374?

Answer: Factors of 9374 are 1, 2, 43, 86, 109, 218, 4687, 9374. There are 8 integers that are factors of 9374. The greatest factor of 9374 is 9374.

4. How to Find the LCM of 9366 and 9374?

Answer:

Least Common Multiple of 9366 and 9374 = 43898442

Step 1: Find the prime factorization of 9366

9366 = 2 x 3 x 7 x 223

Step 2: Find the prime factorization of 9374

9374 = 2 x 43 x 109

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

LCM = 43898442 = 2 x 3 x 7 x 43 x 109 x 223

Step 4: Therefore, the least common multiple of 9366 and 9374 is 43898442.