Least Common Multiple of 4110 and 4114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4110 and 4114 the smallest integer that is 8454270 that is divisible by both numbers.

Least Common Multiple (LCM) of 4110 and 4114 is 8454270.

LCM(4110,4114) = 8454270

LCM of 4110 and 4114

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

LCM of:
and

Least Common Multiple of 4110 and 4114

LCM of 4110 and 4114 is 8454270

Least common multiple can be found by multiplying the highest exponent prime factors of 4110 and 4114. First we will calculate the prime factors of 4110 and 4114.

Prime Factorization of 4110


2 4110
3 2055
5 685
137 137
1

Prime factors of 4110 are 2, 3, 5,137. Prime factorization of 4110 in exponential form is:

4110 = 21×31×51×1371

Prime Factorization of 4114


2 4114
11 2057
11 187
17 17
1

Prime factors of 4114 are 2, 11,17. Prime factorization of 4114 in exponential form is:

4114 = 21×112×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4110 and 4114.

LCM(4110,4114) = 21×31×51×112×171×1371
LCM(4110,4114) = 8454270

Factors of 4110

List of positive integer factors of 4110 that divides 4110 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055, 4110

Factors of 4114

List of positive integer factors of 4114 that divides 4114 without a remainder.

1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114

Least Common Multiple of 4110 and 4114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4110 and 4114, than apply into the LCM equation.

GCF(4110,4114) = 2
LCM(4110,4114) = ( 4110 × 4114) / 2
LCM(4110,4114) = 16908540 / 2
LCM(4110,4114) = 8454270

Properties of LCM 4110 and 4114

(i) The LCM of 4114 and 4110 is associative

LCM of 4110 and 4114 = LCM of 4114 and 4110

Related Least Common Multiples of 4110

Related Least Common Multiples of 4114

Frequently Asked Questions on LCM of 4110 and 4114

1. What is the LCM of 4110 and 4114?

Answer: LCM of 4110 and 4114 is 8454270.

2. What are the Factors of 4110?

Answer: Factors of 4110 are 1, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055, 4110. There are 16 integers that are factors of 4110. The greatest factor of 4110 is 4110.

3. What are the Factors of 4114?

Answer: Factors of 4114 are 1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114. There are 12 integers that are factors of 4114. The greatest factor of 4114 is 4114.

4. How to Find the LCM of 4110 and 4114?

Answer:

Least Common Multiple of 4110 and 4114 = 8454270

Step 1: Find the prime factorization of 4110

4110 = 2 x 3 x 5 x 137

Step 2: Find the prime factorization of 4114

4114 = 2 x 11 x 11 x 17

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

LCM = 8454270 = 2 x 3 x 5 x 11 x 11 x 17 x 137

Step 4: Therefore, the least common multiple of 4110 and 4114 is 8454270.