Least Common Multiple of 9109 and 9114

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 9114 the smallest integer that is 83019426 that is divisible by both numbers.

Least Common Multiple (LCM) of 9109 and 9114 is 83019426.

LCM(9109,9114) = 83019426

LCM of 9109 and 9114

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

LCM of:
and

Least Common Multiple of 9109 and 9114

LCM of 9109 and 9114 is 83019426

Least common multiple can be found by multiplying the highest exponent prime factors of 9109 and 9114. First we will calculate the prime factors of 9109 and 9114.

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 9114


2 9114
3 4557
7 1519
7 217
31 31
1

Prime factors of 9114 are 2, 3, 7,31. Prime factorization of 9114 in exponential form is:

9114 = 21×31×72×311

Now multiplying the highest exponent prime factors to calculate the LCM of 9109 and 9114.

LCM(9109,9114) = 21×31×72×311×91091
LCM(9109,9114) = 83019426

Factors of 9109

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

1, 9109

Factors of 9114

List of positive integer factors of 9114 that divides 9114 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 434, 651, 1302, 1519, 3038, 4557, 9114

Least Common Multiple of 9109 and 9114 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 9114, than apply into the LCM equation.

GCF(9109,9114) = 1
LCM(9109,9114) = ( 9109 × 9114) / 1
LCM(9109,9114) = 83019426 / 1
LCM(9109,9114) = 83019426

Properties of LCM 9109 and 9114

(i) The LCM of 9114 and 9109 is associative

LCM of 9109 and 9114 = LCM of 9114 and 9109

Related Least Common Multiples of 9109

Related Least Common Multiples of 9114

Frequently Asked Questions on LCM of 9109 and 9114

1. What is the LCM of 9109 and 9114?

Answer: LCM of 9109 and 9114 is 83019426.

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 9114?

Answer: Factors of 9114 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 434, 651, 1302, 1519, 3038, 4557, 9114. There are 24 integers that are factors of 9114. The greatest factor of 9114 is 9114.

4. How to Find the LCM of 9109 and 9114?

Answer:

Least Common Multiple of 9109 and 9114 = 83019426

Step 1: Find the prime factorization of 9109

9109 = 9109

Step 2: Find the prime factorization of 9114

9114 = 2 x 3 x 7 x 7 x 31

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

LCM = 83019426 = 2 x 3 x 7 x 7 x 31 x 9109

Step 4: Therefore, the least common multiple of 9109 and 9114 is 83019426.