Least Common Multiple of 9121 and 9128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9121 and 9128 the smallest integer that is 11893784 that is divisible by both numbers.

Least Common Multiple (LCM) of 9121 and 9128 is 11893784.

LCM(9121,9128) = 11893784

LCM of 9121 and 9128

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

LCM of:
and

Least Common Multiple of 9121 and 9128

LCM of 9121 and 9128 is 11893784

Least common multiple can be found by multiplying the highest exponent prime factors of 9121 and 9128. First we will calculate the prime factors of 9121 and 9128.

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

Prime Factorization of 9128


2 9128
2 4564
2 2282
7 1141
163 163
1

Prime factors of 9128 are 2, 7,163. Prime factorization of 9128 in exponential form is:

9128 = 23×71×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 9121 and 9128.

LCM(9121,9128) = 23×71×1631×13031
LCM(9121,9128) = 11893784

Factors of 9121

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

1, 7, 1303, 9121

Factors of 9128

List of positive integer factors of 9128 that divides 9128 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128

Least Common Multiple of 9121 and 9128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9121 and 9128, than apply into the LCM equation.

GCF(9121,9128) = 7
LCM(9121,9128) = ( 9121 × 9128) / 7
LCM(9121,9128) = 83256488 / 7
LCM(9121,9128) = 11893784

Properties of LCM 9121 and 9128

(i) The LCM of 9128 and 9121 is associative

LCM of 9121 and 9128 = LCM of 9128 and 9121

Related Least Common Multiples of 9121

Related Least Common Multiples of 9128

Frequently Asked Questions on LCM of 9121 and 9128

1. What is the LCM of 9121 and 9128?

Answer: LCM of 9121 and 9128 is 11893784.

2. 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.

3. What are the Factors of 9128?

Answer: Factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128. There are 16 integers that are factors of 9128. The greatest factor of 9128 is 9128.

4. How to Find the LCM of 9121 and 9128?

Answer:

Least Common Multiple of 9121 and 9128 = 11893784

Step 1: Find the prime factorization of 9121

9121 = 7 x 1303

Step 2: Find the prime factorization of 9128

9128 = 2 x 2 x 2 x 7 x 163

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

LCM = 11893784 = 2 x 2 x 2 x 7 x 163 x 1303

Step 4: Therefore, the least common multiple of 9121 and 9128 is 11893784.