Least Common Multiple of 9348 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 9348 and 9355 the smallest integer that is 87450540 that is divisible by both numbers.

Least Common Multiple (LCM) of 9348 and 9355 is 87450540.

LCM(9348,9355) = 87450540

LCM of 9348 and 9355

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

LCM of:
and

Least Common Multiple of 9348 and 9355

LCM of 9348 and 9355 is 87450540

Least common multiple can be found by multiplying the highest exponent prime factors of 9348 and 9355. First we will calculate the prime factors of 9348 and 9355.

Prime Factorization of 9348


2 9348
2 4674
3 2337
19 779
41 41
1

Prime factors of 9348 are 2, 3, 19,41. Prime factorization of 9348 in exponential form is:

9348 = 22×31×191×411

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 9348 and 9355.

LCM(9348,9355) = 22×31×51×191×411×18711
LCM(9348,9355) = 87450540

Factors of 9348

List of positive integer factors of 9348 that divides 9348 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348

Factors of 9355

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

1, 5, 1871, 9355

Least Common Multiple of 9348 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 9348 and 9355, than apply into the LCM equation.

GCF(9348,9355) = 1
LCM(9348,9355) = ( 9348 × 9355) / 1
LCM(9348,9355) = 87450540 / 1
LCM(9348,9355) = 87450540

Properties of LCM 9348 and 9355

(i) The LCM of 9355 and 9348 is associative

LCM of 9348 and 9355 = LCM of 9355 and 9348

Related Least Common Multiples of 9348

Related Least Common Multiples of 9355

Frequently Asked Questions on LCM of 9348 and 9355

1. What is the LCM of 9348 and 9355?

Answer: LCM of 9348 and 9355 is 87450540.

2. What are the Factors of 9348?

Answer: Factors of 9348 are 1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348. There are 24 integers that are factors of 9348. The greatest factor of 9348 is 9348.

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 9348 and 9355?

Answer:

Least Common Multiple of 9348 and 9355 = 87450540

Step 1: Find the prime factorization of 9348

9348 = 2 x 2 x 3 x 19 x 41

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 = 87450540 = 2 x 2 x 3 x 5 x 19 x 41 x 1871

Step 4: Therefore, the least common multiple of 9348 and 9355 is 87450540.