Least Common Multiple of 9336 and 9342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9336 and 9342 the smallest integer that is 14536152 that is divisible by both numbers.

Least Common Multiple (LCM) of 9336 and 9342 is 14536152.

LCM(9336,9342) = 14536152

LCM of 9336 and 9342

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

LCM of:
and

Least Common Multiple of 9336 and 9342

LCM of 9336 and 9342 is 14536152

Least common multiple can be found by multiplying the highest exponent prime factors of 9336 and 9342. First we will calculate the prime factors of 9336 and 9342.

Prime Factorization of 9336


2 9336
2 4668
2 2334
3 1167
389 389
1

Prime factors of 9336 are 2, 3,389. Prime factorization of 9336 in exponential form is:

9336 = 23×31×3891

Prime Factorization of 9342


2 9342
3 4671
3 1557
3 519
173 173
1

Prime factors of 9342 are 2, 3,173. Prime factorization of 9342 in exponential form is:

9342 = 21×33×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 9336 and 9342.

LCM(9336,9342) = 23×33×1731×3891
LCM(9336,9342) = 14536152

Factors of 9336

List of positive integer factors of 9336 that divides 9336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336

Factors of 9342

List of positive integer factors of 9342 that divides 9342 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342

Least Common Multiple of 9336 and 9342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9336 and 9342, than apply into the LCM equation.

GCF(9336,9342) = 6
LCM(9336,9342) = ( 9336 × 9342) / 6
LCM(9336,9342) = 87216912 / 6
LCM(9336,9342) = 14536152

Properties of LCM 9336 and 9342

(i) The LCM of 9342 and 9336 is associative

LCM of 9336 and 9342 = LCM of 9342 and 9336

Related Least Common Multiples of 9336

Related Least Common Multiples of 9342

Frequently Asked Questions on LCM of 9336 and 9342

1. What is the LCM of 9336 and 9342?

Answer: LCM of 9336 and 9342 is 14536152.

2. What are the Factors of 9336?

Answer: Factors of 9336 are 1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336. There are 16 integers that are factors of 9336. The greatest factor of 9336 is 9336.

3. What are the Factors of 9342?

Answer: Factors of 9342 are 1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342. There are 16 integers that are factors of 9342. The greatest factor of 9342 is 9342.

4. How to Find the LCM of 9336 and 9342?

Answer:

Least Common Multiple of 9336 and 9342 = 14536152

Step 1: Find the prime factorization of 9336

9336 = 2 x 2 x 2 x 3 x 389

Step 2: Find the prime factorization of 9342

9342 = 2 x 3 x 3 x 3 x 173

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

LCM = 14536152 = 2 x 2 x 2 x 3 x 3 x 3 x 173 x 389

Step 4: Therefore, the least common multiple of 9336 and 9342 is 14536152.