Least Common Multiple of 9079 and 9086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9079 and 9086 the smallest integer that is 11784542 that is divisible by both numbers.

Least Common Multiple (LCM) of 9079 and 9086 is 11784542.

LCM(9079,9086) = 11784542

LCM of 9079 and 9086

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

LCM of:
and

Least Common Multiple of 9079 and 9086

LCM of 9079 and 9086 is 11784542

Least common multiple can be found by multiplying the highest exponent prime factors of 9079 and 9086. First we will calculate the prime factors of 9079 and 9086.

Prime Factorization of 9079


7 9079
1297 1297
1

Prime factors of 9079 are 7,1297. Prime factorization of 9079 in exponential form is:

9079 = 71×12971

Prime Factorization of 9086


2 9086
7 4543
11 649
59 59
1

Prime factors of 9086 are 2, 7, 11,59. Prime factorization of 9086 in exponential form is:

9086 = 21×71×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 9079 and 9086.

LCM(9079,9086) = 21×71×111×591×12971
LCM(9079,9086) = 11784542

Factors of 9079

List of positive integer factors of 9079 that divides 9079 without a remainder.

1, 7, 1297, 9079

Factors of 9086

List of positive integer factors of 9086 that divides 9086 without a remainder.

1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543, 9086

Least Common Multiple of 9079 and 9086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9079 and 9086, than apply into the LCM equation.

GCF(9079,9086) = 7
LCM(9079,9086) = ( 9079 × 9086) / 7
LCM(9079,9086) = 82491794 / 7
LCM(9079,9086) = 11784542

Properties of LCM 9079 and 9086

(i) The LCM of 9086 and 9079 is associative

LCM of 9079 and 9086 = LCM of 9086 and 9079

Related Least Common Multiples of 9079

Related Least Common Multiples of 9086

Frequently Asked Questions on LCM of 9079 and 9086

1. What is the LCM of 9079 and 9086?

Answer: LCM of 9079 and 9086 is 11784542.

2. What are the Factors of 9079?

Answer: Factors of 9079 are 1, 7, 1297, 9079. There are 4 integers that are factors of 9079. The greatest factor of 9079 is 9079.

3. What are the Factors of 9086?

Answer: Factors of 9086 are 1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543, 9086. There are 16 integers that are factors of 9086. The greatest factor of 9086 is 9086.

4. How to Find the LCM of 9079 and 9086?

Answer:

Least Common Multiple of 9079 and 9086 = 11784542

Step 1: Find the prime factorization of 9079

9079 = 7 x 1297

Step 2: Find the prime factorization of 9086

9086 = 2 x 7 x 11 x 59

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

LCM = 11784542 = 2 x 7 x 11 x 59 x 1297

Step 4: Therefore, the least common multiple of 9079 and 9086 is 11784542.