Least Common Multiple of 9116 and 9121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9116 and 9121 the smallest integer that is 83147036 that is divisible by both numbers.

Least Common Multiple (LCM) of 9116 and 9121 is 83147036.

LCM(9116,9121) = 83147036

LCM of 9116 and 9121

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

LCM of:
and

Least Common Multiple of 9116 and 9121

LCM of 9116 and 9121 is 83147036

Least common multiple can be found by multiplying the highest exponent prime factors of 9116 and 9121. First we will calculate the prime factors of 9116 and 9121.

Prime Factorization of 9116


2 9116
2 4558
43 2279
53 53
1

Prime factors of 9116 are 2, 43,53. Prime factorization of 9116 in exponential form is:

9116 = 22×431×531

Prime Factorization of 9121


7 9121
1303 1303
1

Prime factors of 9121 are 7,1303. Prime factorization of 9121 in exponential form is:

9121 = 71×13031

Now multiplying the highest exponent prime factors to calculate the LCM of 9116 and 9121.

LCM(9116,9121) = 22×71×431×531×13031
LCM(9116,9121) = 83147036

Factors of 9116

List of positive integer factors of 9116 that divides 9116 without a remainder.

1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116

Factors of 9121

List of positive integer factors of 9121 that divides 9121 without a remainder.

1, 7, 1303, 9121

Least Common Multiple of 9116 and 9121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9116 and 9121, than apply into the LCM equation.

GCF(9116,9121) = 1
LCM(9116,9121) = ( 9116 × 9121) / 1
LCM(9116,9121) = 83147036 / 1
LCM(9116,9121) = 83147036

Properties of LCM 9116 and 9121

(i) The LCM of 9121 and 9116 is associative

LCM of 9116 and 9121 = LCM of 9121 and 9116

Related Least Common Multiples of 9116

Related Least Common Multiples of 9121

Frequently Asked Questions on LCM of 9116 and 9121

1. What is the LCM of 9116 and 9121?

Answer: LCM of 9116 and 9121 is 83147036.

2. What are the Factors of 9116?

Answer: Factors of 9116 are 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116. There are 12 integers that are factors of 9116. The greatest factor of 9116 is 9116.

3. What are the Factors of 9121?

Answer: Factors of 9121 are 1, 7, 1303, 9121. There are 4 integers that are factors of 9121. The greatest factor of 9121 is 9121.

4. How to Find the LCM of 9116 and 9121?

Answer:

Least Common Multiple of 9116 and 9121 = 83147036

Step 1: Find the prime factorization of 9116

9116 = 2 x 2 x 43 x 53

Step 2: Find the prime factorization of 9121

9121 = 7 x 1303

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

LCM = 83147036 = 2 x 2 x 7 x 43 x 53 x 1303

Step 4: Therefore, the least common multiple of 9116 and 9121 is 83147036.