Least Common Multiple of 9351 and 9355

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 9355 the smallest integer that is 87478605 that is divisible by both numbers.

Least Common Multiple (LCM) of 9351 and 9355 is 87478605.

LCM(9351,9355) = 87478605

LCM of 9351 and 9355

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

LCM of:
and

Least Common Multiple of 9351 and 9355

LCM of 9351 and 9355 is 87478605

Least common multiple can be found by multiplying the highest exponent prime factors of 9351 and 9355. First we will calculate the prime factors of 9351 and 9355.

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 9355


5 9355
1871 1871
1

Prime factors of 9355 are 5,1871. Prime factorization of 9355 in exponential form is:

9355 = 51×18711

Now multiplying the highest exponent prime factors to calculate the LCM of 9351 and 9355.

LCM(9351,9355) = 32×51×10391×18711
LCM(9351,9355) = 87478605

Factors of 9351

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

1, 3, 9, 1039, 3117, 9351

Factors of 9355

List of positive integer factors of 9355 that divides 9355 without a remainder.

1, 5, 1871, 9355

Least Common Multiple of 9351 and 9355 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 9355, than apply into the LCM equation.

GCF(9351,9355) = 1
LCM(9351,9355) = ( 9351 × 9355) / 1
LCM(9351,9355) = 87478605 / 1
LCM(9351,9355) = 87478605

Properties of LCM 9351 and 9355

(i) The LCM of 9355 and 9351 is associative

LCM of 9351 and 9355 = LCM of 9355 and 9351

Related Least Common Multiples of 9351

Related Least Common Multiples of 9355

Frequently Asked Questions on LCM of 9351 and 9355

1. What is the LCM of 9351 and 9355?

Answer: LCM of 9351 and 9355 is 87478605.

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 9355?

Answer: Factors of 9355 are 1, 5, 1871, 9355. There are 4 integers that are factors of 9355. The greatest factor of 9355 is 9355.

4. How to Find the LCM of 9351 and 9355?

Answer:

Least Common Multiple of 9351 and 9355 = 87478605

Step 1: Find the prime factorization of 9351

9351 = 3 x 3 x 1039

Step 2: Find the prime factorization of 9355

9355 = 5 x 1871

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

LCM = 87478605 = 3 x 3 x 5 x 1039 x 1871

Step 4: Therefore, the least common multiple of 9351 and 9355 is 87478605.