Least Common Multiple of 9341 and 9346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 9341 and 9346 the smallest integer that is 87300986 that is divisible by both numbers.

Least Common Multiple (LCM) of 9341 and 9346 is 87300986.

LCM(9341,9346) = 87300986

LCM of 9341 and 9346

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

LCM of:
and

Least Common Multiple of 9341 and 9346

LCM of 9341 and 9346 is 87300986

Least common multiple can be found by multiplying the highest exponent prime factors of 9341 and 9346. First we will calculate the prime factors of 9341 and 9346.

Prime Factorization of 9341


9341 9341
1

Prime factors of 9341 are 9341. Prime factorization of 9341 in exponential form is:

9341 = 93411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9341 and 9346.

LCM(9341,9346) = 21×46731×93411
LCM(9341,9346) = 87300986

Factors of 9341

List of positive integer factors of 9341 that divides 9341 without a remainder.

1, 9341

Factors of 9346

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

1, 2, 4673, 9346

Least Common Multiple of 9341 and 9346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9341 and 9346, than apply into the LCM equation.

GCF(9341,9346) = 1
LCM(9341,9346) = ( 9341 × 9346) / 1
LCM(9341,9346) = 87300986 / 1
LCM(9341,9346) = 87300986

Properties of LCM 9341 and 9346

(i) The LCM of 9346 and 9341 is associative

LCM of 9341 and 9346 = LCM of 9346 and 9341

Frequently Asked Questions on LCM of 9341 and 9346

1. What is the LCM of 9341 and 9346?

Answer: LCM of 9341 and 9346 is 87300986.

2. What are the Factors of 9341?

Answer: Factors of 9341 are 1, 9341. There are 2 integers that are factors of 9341. The greatest factor of 9341 is 9341.

3. 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.

4. How to Find the LCM of 9341 and 9346?

Answer:

Least Common Multiple of 9341 and 9346 = 87300986

Step 1: Find the prime factorization of 9341

9341 = 9341

Step 2: Find the prime factorization of 9346

9346 = 2 x 4673

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

LCM = 87300986 = 2 x 4673 x 9341

Step 4: Therefore, the least common multiple of 9341 and 9346 is 87300986.