Least Common Multiple of 9355 and 9362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9355 and 9362 the smallest integer that is 87581510 that is divisible by both numbers.

Least Common Multiple (LCM) of 9355 and 9362 is 87581510.

LCM(9355,9362) = 87581510

LCM of 9355 and 9362

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

LCM of:
and

Least Common Multiple of 9355 and 9362

LCM of 9355 and 9362 is 87581510

Least common multiple can be found by multiplying the highest exponent prime factors of 9355 and 9362. First we will calculate the prime factors of 9355 and 9362.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9355 and 9362.

LCM(9355,9362) = 21×51×311×1511×18711
LCM(9355,9362) = 87581510

Factors of 9355

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

1, 5, 1871, 9355

Factors of 9362

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

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

Least Common Multiple of 9355 and 9362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9355 and 9362, than apply into the LCM equation.

GCF(9355,9362) = 1
LCM(9355,9362) = ( 9355 × 9362) / 1
LCM(9355,9362) = 87581510 / 1
LCM(9355,9362) = 87581510

Properties of LCM 9355 and 9362

(i) The LCM of 9362 and 9355 is associative

LCM of 9355 and 9362 = LCM of 9362 and 9355

Related Least Common Multiples of 9355

Related Least Common Multiples of 9362

Frequently Asked Questions on LCM of 9355 and 9362

1. What is the LCM of 9355 and 9362?

Answer: LCM of 9355 and 9362 is 87581510.

2. 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.

3. 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.

4. How to Find the LCM of 9355 and 9362?

Answer:

Least Common Multiple of 9355 and 9362 = 87581510

Step 1: Find the prime factorization of 9355

9355 = 5 x 1871

Step 2: Find the prime factorization of 9362

9362 = 2 x 31 x 151

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

LCM = 87581510 = 2 x 5 x 31 x 151 x 1871

Step 4: Therefore, the least common multiple of 9355 and 9362 is 87581510.