Least Common Multiple of 9109 and 9116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9109 and 9116 the smallest integer that is 83037644 that is divisible by both numbers.

Least Common Multiple (LCM) of 9109 and 9116 is 83037644.

LCM(9109,9116) = 83037644

LCM of 9109 and 9116

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

LCM of:
and

Least Common Multiple of 9109 and 9116

LCM of 9109 and 9116 is 83037644

Least common multiple can be found by multiplying the highest exponent prime factors of 9109 and 9116. First we will calculate the prime factors of 9109 and 9116.

Prime Factorization of 9109


9109 9109
1

Prime factors of 9109 are 9109. Prime factorization of 9109 in exponential form is:

9109 = 91091

Prime Factorization of 9116


2 9116
2 4558
43 2279
53 53
1

Prime factors of 9116 are 2, 43,53. Prime factorization of 9116 in exponential form is:

9116 = 22×431×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9109 and 9116.

LCM(9109,9116) = 22×431×531×91091
LCM(9109,9116) = 83037644

Factors of 9109

List of positive integer factors of 9109 that divides 9109 without a remainder.

1, 9109

Factors of 9116

List of positive integer factors of 9116 that divides 9116 without a remainder.

1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116

Least Common Multiple of 9109 and 9116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9109 and 9116, than apply into the LCM equation.

GCF(9109,9116) = 1
LCM(9109,9116) = ( 9109 × 9116) / 1
LCM(9109,9116) = 83037644 / 1
LCM(9109,9116) = 83037644

Properties of LCM 9109 and 9116

(i) The LCM of 9116 and 9109 is associative

LCM of 9109 and 9116 = LCM of 9116 and 9109

Related Least Common Multiples of 9109

Related Least Common Multiples of 9116

Frequently Asked Questions on LCM of 9109 and 9116

1. What is the LCM of 9109 and 9116?

Answer: LCM of 9109 and 9116 is 83037644.

2. What are the Factors of 9109?

Answer: Factors of 9109 are 1, 9109. There are 2 integers that are factors of 9109. The greatest factor of 9109 is 9109.

3. What are the Factors of 9116?

Answer: Factors of 9116 are 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116. There are 12 integers that are factors of 9116. The greatest factor of 9116 is 9116.

4. How to Find the LCM of 9109 and 9116?

Answer:

Least Common Multiple of 9109 and 9116 = 83037644

Step 1: Find the prime factorization of 9109

9109 = 9109

Step 2: Find the prime factorization of 9116

9116 = 2 x 2 x 43 x 53

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

LCM = 83037644 = 2 x 2 x 43 x 53 x 9109

Step 4: Therefore, the least common multiple of 9109 and 9116 is 83037644.