Least Common Multiple of 9358 and 9365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9358 and 9365 the smallest integer that is 87637670 that is divisible by both numbers.

Least Common Multiple (LCM) of 9358 and 9365 is 87637670.

LCM(9358,9365) = 87637670

LCM of 9358 and 9365

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

LCM of:
and

Least Common Multiple of 9358 and 9365

LCM of 9358 and 9365 is 87637670

Least common multiple can be found by multiplying the highest exponent prime factors of 9358 and 9365. First we will calculate the prime factors of 9358 and 9365.

Prime Factorization of 9358


2 9358
4679 4679
1

Prime factors of 9358 are 2,4679. Prime factorization of 9358 in exponential form is:

9358 = 21×46791

Prime Factorization of 9365


5 9365
1873 1873
1

Prime factors of 9365 are 5,1873. Prime factorization of 9365 in exponential form is:

9365 = 51×18731

Now multiplying the highest exponent prime factors to calculate the LCM of 9358 and 9365.

LCM(9358,9365) = 21×51×18731×46791
LCM(9358,9365) = 87637670

Factors of 9358

List of positive integer factors of 9358 that divides 9358 without a remainder.

1, 2, 4679, 9358

Factors of 9365

List of positive integer factors of 9365 that divides 9365 without a remainder.

1, 5, 1873, 9365

Least Common Multiple of 9358 and 9365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9358 and 9365, than apply into the LCM equation.

GCF(9358,9365) = 1
LCM(9358,9365) = ( 9358 × 9365) / 1
LCM(9358,9365) = 87637670 / 1
LCM(9358,9365) = 87637670

Properties of LCM 9358 and 9365

(i) The LCM of 9365 and 9358 is associative

LCM of 9358 and 9365 = LCM of 9365 and 9358

Related Least Common Multiples of 9358

Related Least Common Multiples of 9365

Frequently Asked Questions on LCM of 9358 and 9365

1. What is the LCM of 9358 and 9365?

Answer: LCM of 9358 and 9365 is 87637670.

2. What are the Factors of 9358?

Answer: Factors of 9358 are 1, 2, 4679, 9358. There are 4 integers that are factors of 9358. The greatest factor of 9358 is 9358.

3. What are the Factors of 9365?

Answer: Factors of 9365 are 1, 5, 1873, 9365. There are 4 integers that are factors of 9365. The greatest factor of 9365 is 9365.

4. How to Find the LCM of 9358 and 9365?

Answer:

Least Common Multiple of 9358 and 9365 = 87637670

Step 1: Find the prime factorization of 9358

9358 = 2 x 4679

Step 2: Find the prime factorization of 9365

9365 = 5 x 1873

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

LCM = 87637670 = 2 x 5 x 1873 x 4679

Step 4: Therefore, the least common multiple of 9358 and 9365 is 87637670.