Least Common Multiple of 9363 and 9368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9363 and 9368 the smallest integer that is 87712584 that is divisible by both numbers.

Least Common Multiple (LCM) of 9363 and 9368 is 87712584.

LCM(9363,9368) = 87712584

LCM of 9363 and 9368

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

LCM of:
and

Least Common Multiple of 9363 and 9368

LCM of 9363 and 9368 is 87712584

Least common multiple can be found by multiplying the highest exponent prime factors of 9363 and 9368. First we will calculate the prime factors of 9363 and 9368.

Prime Factorization of 9363


3 9363
3121 3121
1

Prime factors of 9363 are 3,3121. Prime factorization of 9363 in exponential form is:

9363 = 31×31211

Prime Factorization of 9368


2 9368
2 4684
2 2342
1171 1171
1

Prime factors of 9368 are 2,1171. Prime factorization of 9368 in exponential form is:

9368 = 23×11711

Now multiplying the highest exponent prime factors to calculate the LCM of 9363 and 9368.

LCM(9363,9368) = 23×31×11711×31211
LCM(9363,9368) = 87712584

Factors of 9363

List of positive integer factors of 9363 that divides 9363 without a remainder.

1, 3, 3121, 9363

Factors of 9368

List of positive integer factors of 9368 that divides 9368 without a remainder.

1, 2, 4, 8, 1171, 2342, 4684, 9368

Least Common Multiple of 9363 and 9368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9363 and 9368, than apply into the LCM equation.

GCF(9363,9368) = 1
LCM(9363,9368) = ( 9363 × 9368) / 1
LCM(9363,9368) = 87712584 / 1
LCM(9363,9368) = 87712584

Properties of LCM 9363 and 9368

(i) The LCM of 9368 and 9363 is associative

LCM of 9363 and 9368 = LCM of 9368 and 9363

Related Least Common Multiples of 9363

Related Least Common Multiples of 9368

Frequently Asked Questions on LCM of 9363 and 9368

1. What is the LCM of 9363 and 9368?

Answer: LCM of 9363 and 9368 is 87712584.

2. What are the Factors of 9363?

Answer: Factors of 9363 are 1, 3, 3121, 9363. There are 4 integers that are factors of 9363. The greatest factor of 9363 is 9363.

3. What are the Factors of 9368?

Answer: Factors of 9368 are 1, 2, 4, 8, 1171, 2342, 4684, 9368. There are 8 integers that are factors of 9368. The greatest factor of 9368 is 9368.

4. How to Find the LCM of 9363 and 9368?

Answer:

Least Common Multiple of 9363 and 9368 = 87712584

Step 1: Find the prime factorization of 9363

9363 = 3 x 3121

Step 2: Find the prime factorization of 9368

9368 = 2 x 2 x 2 x 1171

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

LCM = 87712584 = 2 x 2 x 2 x 3 x 1171 x 3121

Step 4: Therefore, the least common multiple of 9363 and 9368 is 87712584.