Least Common Multiple of 9115 and 9122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9115 and 9122 the smallest integer that is 83147030 that is divisible by both numbers.

Least Common Multiple (LCM) of 9115 and 9122 is 83147030.

LCM(9115,9122) = 83147030

LCM of 9115 and 9122

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

LCM of:
and

Least Common Multiple of 9115 and 9122

LCM of 9115 and 9122 is 83147030

Least common multiple can be found by multiplying the highest exponent prime factors of 9115 and 9122. First we will calculate the prime factors of 9115 and 9122.

Prime Factorization of 9115


5 9115
1823 1823
1

Prime factors of 9115 are 5,1823. Prime factorization of 9115 in exponential form is:

9115 = 51×18231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9115 and 9122.

LCM(9115,9122) = 21×51×18231×45611
LCM(9115,9122) = 83147030

Factors of 9115

List of positive integer factors of 9115 that divides 9115 without a remainder.

1, 5, 1823, 9115

Factors of 9122

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

1, 2, 4561, 9122

Least Common Multiple of 9115 and 9122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9115 and 9122, than apply into the LCM equation.

GCF(9115,9122) = 1
LCM(9115,9122) = ( 9115 × 9122) / 1
LCM(9115,9122) = 83147030 / 1
LCM(9115,9122) = 83147030

Properties of LCM 9115 and 9122

(i) The LCM of 9122 and 9115 is associative

LCM of 9115 and 9122 = LCM of 9122 and 9115

Related Least Common Multiples of 9115

Related Least Common Multiples of 9122

Frequently Asked Questions on LCM of 9115 and 9122

1. What is the LCM of 9115 and 9122?

Answer: LCM of 9115 and 9122 is 83147030.

2. What are the Factors of 9115?

Answer: Factors of 9115 are 1, 5, 1823, 9115. There are 4 integers that are factors of 9115. The greatest factor of 9115 is 9115.

3. 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.

4. How to Find the LCM of 9115 and 9122?

Answer:

Least Common Multiple of 9115 and 9122 = 83147030

Step 1: Find the prime factorization of 9115

9115 = 5 x 1823

Step 2: Find the prime factorization of 9122

9122 = 2 x 4561

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

LCM = 83147030 = 2 x 5 x 1823 x 4561

Step 4: Therefore, the least common multiple of 9115 and 9122 is 83147030.