Least Common Multiple of 9341 and 9345

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 9345 the smallest integer that is 87291645 that is divisible by both numbers.

Least Common Multiple (LCM) of 9341 and 9345 is 87291645.

LCM(9341,9345) = 87291645

LCM of 9341 and 9345

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

LCM of:
and

Least Common Multiple of 9341 and 9345

LCM of 9341 and 9345 is 87291645

Least common multiple can be found by multiplying the highest exponent prime factors of 9341 and 9345. First we will calculate the prime factors of 9341 and 9345.

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 9345


3 9345
5 3115
7 623
89 89
1

Prime factors of 9345 are 3, 5, 7,89. Prime factorization of 9345 in exponential form is:

9345 = 31×51×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 9341 and 9345.

LCM(9341,9345) = 31×51×71×891×93411
LCM(9341,9345) = 87291645

Factors of 9341

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

1, 9341

Factors of 9345

List of positive integer factors of 9345 that divides 9345 without a remainder.

1, 3, 5, 7, 15, 21, 35, 89, 105, 267, 445, 623, 1335, 1869, 3115, 9345

Least Common Multiple of 9341 and 9345 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 9345, than apply into the LCM equation.

GCF(9341,9345) = 1
LCM(9341,9345) = ( 9341 × 9345) / 1
LCM(9341,9345) = 87291645 / 1
LCM(9341,9345) = 87291645

Properties of LCM 9341 and 9345

(i) The LCM of 9345 and 9341 is associative

LCM of 9341 and 9345 = LCM of 9345 and 9341

Related Least Common Multiples of 9341

Related Least Common Multiples of 9345

Frequently Asked Questions on LCM of 9341 and 9345

1. What is the LCM of 9341 and 9345?

Answer: LCM of 9341 and 9345 is 87291645.

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 9345?

Answer: Factors of 9345 are 1, 3, 5, 7, 15, 21, 35, 89, 105, 267, 445, 623, 1335, 1869, 3115, 9345. There are 16 integers that are factors of 9345. The greatest factor of 9345 is 9345.

4. How to Find the LCM of 9341 and 9345?

Answer:

Least Common Multiple of 9341 and 9345 = 87291645

Step 1: Find the prime factorization of 9341

9341 = 9341

Step 2: Find the prime factorization of 9345

9345 = 3 x 5 x 7 x 89

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

LCM = 87291645 = 3 x 5 x 7 x 89 x 9341

Step 4: Therefore, the least common multiple of 9341 and 9345 is 87291645.