Least Common Multiple of 9122 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 9122 and 9127 the smallest integer that is 83256494 that is divisible by both numbers.

Least Common Multiple (LCM) of 9122 and 9127 is 83256494.

LCM(9122,9127) = 83256494

LCM of 9122 and 9127

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

LCM of:
and

Least Common Multiple of 9122 and 9127

LCM of 9122 and 9127 is 83256494

Least common multiple can be found by multiplying the highest exponent prime factors of 9122 and 9127. First we will calculate the prime factors of 9122 and 9127.

Prime Factorization of 9122


2 9122
4561 4561
1

Prime factors of 9122 are 2,4561. Prime factorization of 9122 in exponential form is:

9122 = 21×45611

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 9122 and 9127.

LCM(9122,9127) = 21×45611×91271
LCM(9122,9127) = 83256494

Factors of 9122

List of positive integer factors of 9122 that divides 9122 without a remainder.

1, 2, 4561, 9122

Factors of 9127

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

1, 9127

Least Common Multiple of 9122 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 9122 and 9127, than apply into the LCM equation.

GCF(9122,9127) = 1
LCM(9122,9127) = ( 9122 × 9127) / 1
LCM(9122,9127) = 83256494 / 1
LCM(9122,9127) = 83256494

Properties of LCM 9122 and 9127

(i) The LCM of 9127 and 9122 is associative

LCM of 9122 and 9127 = LCM of 9127 and 9122

Frequently Asked Questions on LCM of 9122 and 9127

1. What is the LCM of 9122 and 9127?

Answer: LCM of 9122 and 9127 is 83256494.

2. What are the Factors of 9122?

Answer: Factors of 9122 are 1, 2, 4561, 9122. There are 4 integers that are factors of 9122. The greatest factor of 9122 is 9122.

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 9122 and 9127?

Answer:

Least Common Multiple of 9122 and 9127 = 83256494

Step 1: Find the prime factorization of 9122

9122 = 2 x 4561

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 = 83256494 = 2 x 4561 x 9127

Step 4: Therefore, the least common multiple of 9122 and 9127 is 83256494.