Least Common Multiple of 9362 and 9369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9362 and 9369 the smallest integer that is 87712578 that is divisible by both numbers.

Least Common Multiple (LCM) of 9362 and 9369 is 87712578.

LCM(9362,9369) = 87712578

LCM of 9362 and 9369

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

LCM of:
and

Least Common Multiple of 9362 and 9369

LCM of 9362 and 9369 is 87712578

Least common multiple can be found by multiplying the highest exponent prime factors of 9362 and 9369. First we will calculate the prime factors of 9362 and 9369.

Prime Factorization of 9362


2 9362
31 4681
151 151
1

Prime factors of 9362 are 2, 31,151. Prime factorization of 9362 in exponential form is:

9362 = 21×311×1511

Prime Factorization of 9369


3 9369
3 3123
3 1041
347 347
1

Prime factors of 9369 are 3,347. Prime factorization of 9369 in exponential form is:

9369 = 33×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 9362 and 9369.

LCM(9362,9369) = 21×33×311×1511×3471
LCM(9362,9369) = 87712578

Factors of 9362

List of positive integer factors of 9362 that divides 9362 without a remainder.

1, 2, 31, 62, 151, 302, 4681, 9362

Factors of 9369

List of positive integer factors of 9369 that divides 9369 without a remainder.

1, 3, 9, 27, 347, 1041, 3123, 9369

Least Common Multiple of 9362 and 9369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9362 and 9369, than apply into the LCM equation.

GCF(9362,9369) = 1
LCM(9362,9369) = ( 9362 × 9369) / 1
LCM(9362,9369) = 87712578 / 1
LCM(9362,9369) = 87712578

Properties of LCM 9362 and 9369

(i) The LCM of 9369 and 9362 is associative

LCM of 9362 and 9369 = LCM of 9369 and 9362

Related Least Common Multiples of 9362

Related Least Common Multiples of 9369

Frequently Asked Questions on LCM of 9362 and 9369

1. What is the LCM of 9362 and 9369?

Answer: LCM of 9362 and 9369 is 87712578.

2. What are the Factors of 9362?

Answer: Factors of 9362 are 1, 2, 31, 62, 151, 302, 4681, 9362. There are 8 integers that are factors of 9362. The greatest factor of 9362 is 9362.

3. What are the Factors of 9369?

Answer: Factors of 9369 are 1, 3, 9, 27, 347, 1041, 3123, 9369. There are 8 integers that are factors of 9369. The greatest factor of 9369 is 9369.

4. How to Find the LCM of 9362 and 9369?

Answer:

Least Common Multiple of 9362 and 9369 = 87712578

Step 1: Find the prime factorization of 9362

9362 = 2 x 31 x 151

Step 2: Find the prime factorization of 9369

9369 = 3 x 3 x 3 x 347

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

LCM = 87712578 = 2 x 3 x 3 x 3 x 31 x 151 x 347

Step 4: Therefore, the least common multiple of 9362 and 9369 is 87712578.