Least Common Multiple of 9121 and 9126

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 9126 the smallest integer that is 83238246 that is divisible by both numbers.

Least Common Multiple (LCM) of 9121 and 9126 is 83238246.

LCM(9121,9126) = 83238246

LCM of 9121 and 9126

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

LCM of:
and

Least Common Multiple of 9121 and 9126

LCM of 9121 and 9126 is 83238246

Least common multiple can be found by multiplying the highest exponent prime factors of 9121 and 9126. First we will calculate the prime factors of 9121 and 9126.

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 9126


2 9126
3 4563
3 1521
3 507
13 169
13 13
1

Prime factors of 9126 are 2, 3,13. Prime factorization of 9126 in exponential form is:

9126 = 21×33×132

Now multiplying the highest exponent prime factors to calculate the LCM of 9121 and 9126.

LCM(9121,9126) = 21×33×71×132×13031
LCM(9121,9126) = 83238246

Factors of 9121

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

1, 7, 1303, 9121

Factors of 9126

List of positive integer factors of 9126 that divides 9126 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126

Least Common Multiple of 9121 and 9126 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 9126, than apply into the LCM equation.

GCF(9121,9126) = 1
LCM(9121,9126) = ( 9121 × 9126) / 1
LCM(9121,9126) = 83238246 / 1
LCM(9121,9126) = 83238246

Properties of LCM 9121 and 9126

(i) The LCM of 9126 and 9121 is associative

LCM of 9121 and 9126 = LCM of 9126 and 9121

Related Least Common Multiples of 9121

Related Least Common Multiples of 9126

Frequently Asked Questions on LCM of 9121 and 9126

1. What is the LCM of 9121 and 9126?

Answer: LCM of 9121 and 9126 is 83238246.

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 9126?

Answer: Factors of 9126 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126. There are 24 integers that are factors of 9126. The greatest factor of 9126 is 9126.

4. How to Find the LCM of 9121 and 9126?

Answer:

Least Common Multiple of 9121 and 9126 = 83238246

Step 1: Find the prime factorization of 9121

9121 = 7 x 1303

Step 2: Find the prime factorization of 9126

9126 = 2 x 3 x 3 x 3 x 13 x 13

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

LCM = 83238246 = 2 x 3 x 3 x 3 x 7 x 13 x 13 x 1303

Step 4: Therefore, the least common multiple of 9121 and 9126 is 83238246.