Least Common Multiple of 9121 and 9127

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 9127 the smallest integer that is 83247367 that is divisible by both numbers.

Least Common Multiple (LCM) of 9121 and 9127 is 83247367.

LCM(9121,9127) = 83247367

LCM of 9121 and 9127

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

LCM of:
and

Least Common Multiple of 9121 and 9127

LCM of 9121 and 9127 is 83247367

Least common multiple can be found by multiplying the highest exponent prime factors of 9121 and 9127. First we will calculate the prime factors of 9121 and 9127.

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 9127


9127 9127
1

Prime factors of 9127 are 9127. Prime factorization of 9127 in exponential form is:

9127 = 91271

Now multiplying the highest exponent prime factors to calculate the LCM of 9121 and 9127.

LCM(9121,9127) = 71×13031×91271
LCM(9121,9127) = 83247367

Factors of 9121

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

1, 7, 1303, 9121

Factors of 9127

List of positive integer factors of 9127 that divides 9127 without a remainder.

1, 9127

Least Common Multiple of 9121 and 9127 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 9127, than apply into the LCM equation.

GCF(9121,9127) = 1
LCM(9121,9127) = ( 9121 × 9127) / 1
LCM(9121,9127) = 83247367 / 1
LCM(9121,9127) = 83247367

Properties of LCM 9121 and 9127

(i) The LCM of 9127 and 9121 is associative

LCM of 9121 and 9127 = LCM of 9127 and 9121

Frequently Asked Questions on LCM of 9121 and 9127

1. What is the LCM of 9121 and 9127?

Answer: LCM of 9121 and 9127 is 83247367.

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 9127?

Answer: Factors of 9127 are 1, 9127. There are 2 integers that are factors of 9127. The greatest factor of 9127 is 9127.

4. How to Find the LCM of 9121 and 9127?

Answer:

Least Common Multiple of 9121 and 9127 = 83247367

Step 1: Find the prime factorization of 9121

9121 = 7 x 1303

Step 2: Find the prime factorization of 9127

9127 = 9127

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

LCM = 83247367 = 7 x 1303 x 9127

Step 4: Therefore, the least common multiple of 9121 and 9127 is 83247367.