Least Common Multiple of 9110 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 9110 and 9114 the smallest integer that is 41514270 that is divisible by both numbers.

Least Common Multiple (LCM) of 9110 and 9114 is 41514270.

LCM(9110,9114) = 41514270

LCM of 9110 and 9114

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

LCM of:
and

Least Common Multiple of 9110 and 9114

LCM of 9110 and 9114 is 41514270

Least common multiple can be found by multiplying the highest exponent prime factors of 9110 and 9114. First we will calculate the prime factors of 9110 and 9114.

Prime Factorization of 9110


2 9110
5 4555
911 911
1

Prime factors of 9110 are 2, 5,911. Prime factorization of 9110 in exponential form is:

9110 = 21×51×9111

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 9110 and 9114.

LCM(9110,9114) = 21×31×51×72×311×9111
LCM(9110,9114) = 41514270

Factors of 9110

List of positive integer factors of 9110 that divides 9110 without a remainder.

1, 2, 5, 10, 911, 1822, 4555, 9110

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 9110 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 9110 and 9114, than apply into the LCM equation.

GCF(9110,9114) = 2
LCM(9110,9114) = ( 9110 × 9114) / 2
LCM(9110,9114) = 83028540 / 2
LCM(9110,9114) = 41514270

Properties of LCM 9110 and 9114

(i) The LCM of 9114 and 9110 is associative

LCM of 9110 and 9114 = LCM of 9114 and 9110

Related Least Common Multiples of 9110

Related Least Common Multiples of 9114

Frequently Asked Questions on LCM of 9110 and 9114

1. What is the LCM of 9110 and 9114?

Answer: LCM of 9110 and 9114 is 41514270.

2. What are the Factors of 9110?

Answer: Factors of 9110 are 1, 2, 5, 10, 911, 1822, 4555, 9110. There are 8 integers that are factors of 9110. The greatest factor of 9110 is 9110.

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 9110 and 9114?

Answer:

Least Common Multiple of 9110 and 9114 = 41514270

Step 1: Find the prime factorization of 9110

9110 = 2 x 5 x 911

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 = 41514270 = 2 x 3 x 5 x 7 x 7 x 31 x 911

Step 4: Therefore, the least common multiple of 9110 and 9114 is 41514270.