Least Common Multiple of 9058 and 9065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9058 and 9065 the smallest integer that is 11730110 that is divisible by both numbers.

Least Common Multiple (LCM) of 9058 and 9065 is 11730110.

LCM(9058,9065) = 11730110

LCM of 9058 and 9065

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

LCM of:
and

Least Common Multiple of 9058 and 9065

LCM of 9058 and 9065 is 11730110

Least common multiple can be found by multiplying the highest exponent prime factors of 9058 and 9065. First we will calculate the prime factors of 9058 and 9065.

Prime Factorization of 9058


2 9058
7 4529
647 647
1

Prime factors of 9058 are 2, 7,647. Prime factorization of 9058 in exponential form is:

9058 = 21×71×6471

Prime Factorization of 9065


5 9065
7 1813
7 259
37 37
1

Prime factors of 9065 are 5, 7,37. Prime factorization of 9065 in exponential form is:

9065 = 51×72×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9058 and 9065.

LCM(9058,9065) = 21×51×72×371×6471
LCM(9058,9065) = 11730110

Factors of 9058

List of positive integer factors of 9058 that divides 9058 without a remainder.

1, 2, 7, 14, 647, 1294, 4529, 9058

Factors of 9065

List of positive integer factors of 9065 that divides 9065 without a remainder.

1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065

Least Common Multiple of 9058 and 9065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9058 and 9065, than apply into the LCM equation.

GCF(9058,9065) = 7
LCM(9058,9065) = ( 9058 × 9065) / 7
LCM(9058,9065) = 82110770 / 7
LCM(9058,9065) = 11730110

Properties of LCM 9058 and 9065

(i) The LCM of 9065 and 9058 is associative

LCM of 9058 and 9065 = LCM of 9065 and 9058

Related Least Common Multiples of 9058

Related Least Common Multiples of 9065

Frequently Asked Questions on LCM of 9058 and 9065

1. What is the LCM of 9058 and 9065?

Answer: LCM of 9058 and 9065 is 11730110.

2. What are the Factors of 9058?

Answer: Factors of 9058 are 1, 2, 7, 14, 647, 1294, 4529, 9058. There are 8 integers that are factors of 9058. The greatest factor of 9058 is 9058.

3. What are the Factors of 9065?

Answer: Factors of 9065 are 1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065. There are 12 integers that are factors of 9065. The greatest factor of 9065 is 9065.

4. How to Find the LCM of 9058 and 9065?

Answer:

Least Common Multiple of 9058 and 9065 = 11730110

Step 1: Find the prime factorization of 9058

9058 = 2 x 7 x 647

Step 2: Find the prime factorization of 9065

9065 = 5 x 7 x 7 x 37

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

LCM = 11730110 = 2 x 5 x 7 x 7 x 37 x 647

Step 4: Therefore, the least common multiple of 9058 and 9065 is 11730110.