Least Common Multiple of 9348 and 9354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9348 and 9354 the smallest integer that is 14573532 that is divisible by both numbers.

Least Common Multiple (LCM) of 9348 and 9354 is 14573532.

LCM(9348,9354) = 14573532

LCM of 9348 and 9354

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

LCM of:
and

Least Common Multiple of 9348 and 9354

LCM of 9348 and 9354 is 14573532

Least common multiple can be found by multiplying the highest exponent prime factors of 9348 and 9354. First we will calculate the prime factors of 9348 and 9354.

Prime Factorization of 9348


2 9348
2 4674
3 2337
19 779
41 41
1

Prime factors of 9348 are 2, 3, 19,41. Prime factorization of 9348 in exponential form is:

9348 = 22×31×191×411

Prime Factorization of 9354


2 9354
3 4677
1559 1559
1

Prime factors of 9354 are 2, 3,1559. Prime factorization of 9354 in exponential form is:

9354 = 21×31×15591

Now multiplying the highest exponent prime factors to calculate the LCM of 9348 and 9354.

LCM(9348,9354) = 22×31×191×411×15591
LCM(9348,9354) = 14573532

Factors of 9348

List of positive integer factors of 9348 that divides 9348 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348

Factors of 9354

List of positive integer factors of 9354 that divides 9354 without a remainder.

1, 2, 3, 6, 1559, 3118, 4677, 9354

Least Common Multiple of 9348 and 9354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9348 and 9354, than apply into the LCM equation.

GCF(9348,9354) = 6
LCM(9348,9354) = ( 9348 × 9354) / 6
LCM(9348,9354) = 87441192 / 6
LCM(9348,9354) = 14573532

Properties of LCM 9348 and 9354

(i) The LCM of 9354 and 9348 is associative

LCM of 9348 and 9354 = LCM of 9354 and 9348

Related Least Common Multiples of 9348

Related Least Common Multiples of 9354

Frequently Asked Questions on LCM of 9348 and 9354

1. What is the LCM of 9348 and 9354?

Answer: LCM of 9348 and 9354 is 14573532.

2. What are the Factors of 9348?

Answer: Factors of 9348 are 1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348. There are 24 integers that are factors of 9348. The greatest factor of 9348 is 9348.

3. What are the Factors of 9354?

Answer: Factors of 9354 are 1, 2, 3, 6, 1559, 3118, 4677, 9354. There are 8 integers that are factors of 9354. The greatest factor of 9354 is 9354.

4. How to Find the LCM of 9348 and 9354?

Answer:

Least Common Multiple of 9348 and 9354 = 14573532

Step 1: Find the prime factorization of 9348

9348 = 2 x 2 x 3 x 19 x 41

Step 2: Find the prime factorization of 9354

9354 = 2 x 3 x 1559

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

LCM = 14573532 = 2 x 2 x 3 x 19 x 41 x 1559

Step 4: Therefore, the least common multiple of 9348 and 9354 is 14573532.