Least Common Multiple of 9351 and 9359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9351 and 9359 the smallest integer that is 87516009 that is divisible by both numbers.

Least Common Multiple (LCM) of 9351 and 9359 is 87516009.

LCM(9351,9359) = 87516009

LCM of 9351 and 9359

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

LCM of:
and

Least Common Multiple of 9351 and 9359

LCM of 9351 and 9359 is 87516009

Least common multiple can be found by multiplying the highest exponent prime factors of 9351 and 9359. First we will calculate the prime factors of 9351 and 9359.

Prime Factorization of 9351


3 9351
3 3117
1039 1039
1

Prime factors of 9351 are 3,1039. Prime factorization of 9351 in exponential form is:

9351 = 32×10391

Prime Factorization of 9359


7 9359
7 1337
191 191
1

Prime factors of 9359 are 7,191. Prime factorization of 9359 in exponential form is:

9359 = 72×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 9351 and 9359.

LCM(9351,9359) = 32×72×1911×10391
LCM(9351,9359) = 87516009

Factors of 9351

List of positive integer factors of 9351 that divides 9351 without a remainder.

1, 3, 9, 1039, 3117, 9351

Factors of 9359

List of positive integer factors of 9359 that divides 9359 without a remainder.

1, 7, 49, 191, 1337, 9359

Least Common Multiple of 9351 and 9359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9351 and 9359, than apply into the LCM equation.

GCF(9351,9359) = 1
LCM(9351,9359) = ( 9351 × 9359) / 1
LCM(9351,9359) = 87516009 / 1
LCM(9351,9359) = 87516009

Properties of LCM 9351 and 9359

(i) The LCM of 9359 and 9351 is associative

LCM of 9351 and 9359 = LCM of 9359 and 9351

Related Least Common Multiples of 9351

Related Least Common Multiples of 9359

Frequently Asked Questions on LCM of 9351 and 9359

1. What is the LCM of 9351 and 9359?

Answer: LCM of 9351 and 9359 is 87516009.

2. What are the Factors of 9351?

Answer: Factors of 9351 are 1, 3, 9, 1039, 3117, 9351. There are 6 integers that are factors of 9351. The greatest factor of 9351 is 9351.

3. What are the Factors of 9359?

Answer: Factors of 9359 are 1, 7, 49, 191, 1337, 9359. There are 6 integers that are factors of 9359. The greatest factor of 9359 is 9359.

4. How to Find the LCM of 9351 and 9359?

Answer:

Least Common Multiple of 9351 and 9359 = 87516009

Step 1: Find the prime factorization of 9351

9351 = 3 x 3 x 1039

Step 2: Find the prime factorization of 9359

9359 = 7 x 7 x 191

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

LCM = 87516009 = 3 x 3 x 7 x 7 x 191 x 1039

Step 4: Therefore, the least common multiple of 9351 and 9359 is 87516009.