Least Common Multiple of 9351 and 9358

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 9358 the smallest integer that is 87506658 that is divisible by both numbers.

Least Common Multiple (LCM) of 9351 and 9358 is 87506658.

LCM(9351,9358) = 87506658

LCM of 9351 and 9358

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

LCM of:
and

Least Common Multiple of 9351 and 9358

LCM of 9351 and 9358 is 87506658

Least common multiple can be found by multiplying the highest exponent prime factors of 9351 and 9358. First we will calculate the prime factors of 9351 and 9358.

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 9358


2 9358
4679 4679
1

Prime factors of 9358 are 2,4679. Prime factorization of 9358 in exponential form is:

9358 = 21×46791

Now multiplying the highest exponent prime factors to calculate the LCM of 9351 and 9358.

LCM(9351,9358) = 21×32×10391×46791
LCM(9351,9358) = 87506658

Factors of 9351

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

1, 3, 9, 1039, 3117, 9351

Factors of 9358

List of positive integer factors of 9358 that divides 9358 without a remainder.

1, 2, 4679, 9358

Least Common Multiple of 9351 and 9358 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 9358, than apply into the LCM equation.

GCF(9351,9358) = 1
LCM(9351,9358) = ( 9351 × 9358) / 1
LCM(9351,9358) = 87506658 / 1
LCM(9351,9358) = 87506658

Properties of LCM 9351 and 9358

(i) The LCM of 9358 and 9351 is associative

LCM of 9351 and 9358 = LCM of 9358 and 9351

Related Least Common Multiples of 9351

Related Least Common Multiples of 9358

Frequently Asked Questions on LCM of 9351 and 9358

1. What is the LCM of 9351 and 9358?

Answer: LCM of 9351 and 9358 is 87506658.

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 9358?

Answer: Factors of 9358 are 1, 2, 4679, 9358. There are 4 integers that are factors of 9358. The greatest factor of 9358 is 9358.

4. How to Find the LCM of 9351 and 9358?

Answer:

Least Common Multiple of 9351 and 9358 = 87506658

Step 1: Find the prime factorization of 9351

9351 = 3 x 3 x 1039

Step 2: Find the prime factorization of 9358

9358 = 2 x 4679

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

LCM = 87506658 = 2 x 3 x 3 x 1039 x 4679

Step 4: Therefore, the least common multiple of 9351 and 9358 is 87506658.