Least Common Multiple of 9118 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 9118 and 9122 the smallest integer that is 41587198 that is divisible by both numbers.

Least Common Multiple (LCM) of 9118 and 9122 is 41587198.

LCM(9118,9122) = 41587198

LCM of 9118 and 9122

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

LCM of:
and

Least Common Multiple of 9118 and 9122

LCM of 9118 and 9122 is 41587198

Least common multiple can be found by multiplying the highest exponent prime factors of 9118 and 9122. First we will calculate the prime factors of 9118 and 9122.

Prime Factorization of 9118


2 9118
47 4559
97 97
1

Prime factors of 9118 are 2, 47,97. Prime factorization of 9118 in exponential form is:

9118 = 21×471×971

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 9118 and 9122.

LCM(9118,9122) = 21×471×971×45611
LCM(9118,9122) = 41587198

Factors of 9118

List of positive integer factors of 9118 that divides 9118 without a remainder.

1, 2, 47, 94, 97, 194, 4559, 9118

Factors of 9122

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

1, 2, 4561, 9122

Least Common Multiple of 9118 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 9118 and 9122, than apply into the LCM equation.

GCF(9118,9122) = 2
LCM(9118,9122) = ( 9118 × 9122) / 2
LCM(9118,9122) = 83174396 / 2
LCM(9118,9122) = 41587198

Properties of LCM 9118 and 9122

(i) The LCM of 9122 and 9118 is associative

LCM of 9118 and 9122 = LCM of 9122 and 9118

Related Least Common Multiples of 9118

Related Least Common Multiples of 9122

Frequently Asked Questions on LCM of 9118 and 9122

1. What is the LCM of 9118 and 9122?

Answer: LCM of 9118 and 9122 is 41587198.

2. What are the Factors of 9118?

Answer: Factors of 9118 are 1, 2, 47, 94, 97, 194, 4559, 9118. There are 8 integers that are factors of 9118. The greatest factor of 9118 is 9118.

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 9118 and 9122?

Answer:

Least Common Multiple of 9118 and 9122 = 41587198

Step 1: Find the prime factorization of 9118

9118 = 2 x 47 x 97

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 = 41587198 = 2 x 47 x 97 x 4561

Step 4: Therefore, the least common multiple of 9118 and 9122 is 41587198.