Least Common Multiple of 9346 and 9353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9346 and 9353 the smallest integer that is 87413138 that is divisible by both numbers.

Least Common Multiple (LCM) of 9346 and 9353 is 87413138.

LCM(9346,9353) = 87413138

LCM of 9346 and 9353

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

LCM of:
and

Least Common Multiple of 9346 and 9353

LCM of 9346 and 9353 is 87413138

Least common multiple can be found by multiplying the highest exponent prime factors of 9346 and 9353. First we will calculate the prime factors of 9346 and 9353.

Prime Factorization of 9346


2 9346
4673 4673
1

Prime factors of 9346 are 2,4673. Prime factorization of 9346 in exponential form is:

9346 = 21×46731

Prime Factorization of 9353


47 9353
199 199
1

Prime factors of 9353 are 47,199. Prime factorization of 9353 in exponential form is:

9353 = 471×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9346 and 9353.

LCM(9346,9353) = 21×471×1991×46731
LCM(9346,9353) = 87413138

Factors of 9346

List of positive integer factors of 9346 that divides 9346 without a remainder.

1, 2, 4673, 9346

Factors of 9353

List of positive integer factors of 9353 that divides 9353 without a remainder.

1, 47, 199, 9353

Least Common Multiple of 9346 and 9353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9346 and 9353, than apply into the LCM equation.

GCF(9346,9353) = 1
LCM(9346,9353) = ( 9346 × 9353) / 1
LCM(9346,9353) = 87413138 / 1
LCM(9346,9353) = 87413138

Properties of LCM 9346 and 9353

(i) The LCM of 9353 and 9346 is associative

LCM of 9346 and 9353 = LCM of 9353 and 9346

Related Least Common Multiples of 9346

Related Least Common Multiples of 9353

Frequently Asked Questions on LCM of 9346 and 9353

1. What is the LCM of 9346 and 9353?

Answer: LCM of 9346 and 9353 is 87413138.

2. What are the Factors of 9346?

Answer: Factors of 9346 are 1, 2, 4673, 9346. There are 4 integers that are factors of 9346. The greatest factor of 9346 is 9346.

3. What are the Factors of 9353?

Answer: Factors of 9353 are 1, 47, 199, 9353. There are 4 integers that are factors of 9353. The greatest factor of 9353 is 9353.

4. How to Find the LCM of 9346 and 9353?

Answer:

Least Common Multiple of 9346 and 9353 = 87413138

Step 1: Find the prime factorization of 9346

9346 = 2 x 4673

Step 2: Find the prime factorization of 9353

9353 = 47 x 199

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

LCM = 87413138 = 2 x 47 x 199 x 4673

Step 4: Therefore, the least common multiple of 9346 and 9353 is 87413138.