Least Common Multiple of 9341 and 9349

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 9349 the smallest integer that is 87329009 that is divisible by both numbers.

Least Common Multiple (LCM) of 9341 and 9349 is 87329009.

LCM(9341,9349) = 87329009

LCM of 9341 and 9349

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

LCM of:
and

Least Common Multiple of 9341 and 9349

LCM of 9341 and 9349 is 87329009

Least common multiple can be found by multiplying the highest exponent prime factors of 9341 and 9349. First we will calculate the prime factors of 9341 and 9349.

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 9349


9349 9349
1

Prime factors of 9349 are 9349. Prime factorization of 9349 in exponential form is:

9349 = 93491

Now multiplying the highest exponent prime factors to calculate the LCM of 9341 and 9349.

LCM(9341,9349) = 93411×93491
LCM(9341,9349) = 87329009

Factors of 9341

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

1, 9341

Factors of 9349

List of positive integer factors of 9349 that divides 9349 without a remainder.

1, 9349

Least Common Multiple of 9341 and 9349 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 9349, than apply into the LCM equation.

GCF(9341,9349) = 1
LCM(9341,9349) = ( 9341 × 9349) / 1
LCM(9341,9349) = 87329009 / 1
LCM(9341,9349) = 87329009

Properties of LCM 9341 and 9349

(i) The LCM of 9349 and 9341 is associative

LCM of 9341 and 9349 = LCM of 9349 and 9341

Related Least Common Multiples of 9341

Related Least Common Multiples of 9349

Frequently Asked Questions on LCM of 9341 and 9349

1. What is the LCM of 9341 and 9349?

Answer: LCM of 9341 and 9349 is 87329009.

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 9349?

Answer: Factors of 9349 are 1, 9349. There are 2 integers that are factors of 9349. The greatest factor of 9349 is 9349.

4. How to Find the LCM of 9341 and 9349?

Answer:

Least Common Multiple of 9341 and 9349 = 87329009

Step 1: Find the prime factorization of 9341

9341 = 9341

Step 2: Find the prime factorization of 9349

9349 = 9349

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

LCM = 87329009 = 9341 x 9349

Step 4: Therefore, the least common multiple of 9341 and 9349 is 87329009.