Least Common Multiple of 4102 and 4110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4102 and 4110 the smallest integer that is 8429610 that is divisible by both numbers.

Least Common Multiple (LCM) of 4102 and 4110 is 8429610.

LCM(4102,4110) = 8429610

LCM of 4102 and 4110

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

LCM of:
and

Least Common Multiple of 4102 and 4110

LCM of 4102 and 4110 is 8429610

Least common multiple can be found by multiplying the highest exponent prime factors of 4102 and 4110. First we will calculate the prime factors of 4102 and 4110.

Prime Factorization of 4102


2 4102
7 2051
293 293
1

Prime factors of 4102 are 2, 7,293. Prime factorization of 4102 in exponential form is:

4102 = 21×71×2931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4102 and 4110.

LCM(4102,4110) = 21×31×51×71×1371×2931
LCM(4102,4110) = 8429610

Factors of 4102

List of positive integer factors of 4102 that divides 4102 without a remainder.

1, 2, 7, 14, 293, 586, 2051, 4102

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

Least Common Multiple of 4102 and 4110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4102 and 4110, than apply into the LCM equation.

GCF(4102,4110) = 2
LCM(4102,4110) = ( 4102 × 4110) / 2
LCM(4102,4110) = 16859220 / 2
LCM(4102,4110) = 8429610

Properties of LCM 4102 and 4110

(i) The LCM of 4110 and 4102 is associative

LCM of 4102 and 4110 = LCM of 4110 and 4102

Related Least Common Multiples of 4102

Related Least Common Multiples of 4110

Frequently Asked Questions on LCM of 4102 and 4110

1. What is the LCM of 4102 and 4110?

Answer: LCM of 4102 and 4110 is 8429610.

2. What are the Factors of 4102?

Answer: Factors of 4102 are 1, 2, 7, 14, 293, 586, 2051, 4102. There are 8 integers that are factors of 4102. The greatest factor of 4102 is 4102.

3. 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.

4. How to Find the LCM of 4102 and 4110?

Answer:

Least Common Multiple of 4102 and 4110 = 8429610

Step 1: Find the prime factorization of 4102

4102 = 2 x 7 x 293

Step 2: Find the prime factorization of 4110

4110 = 2 x 3 x 5 x 137

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

LCM = 8429610 = 2 x 3 x 5 x 7 x 137 x 293

Step 4: Therefore, the least common multiple of 4102 and 4110 is 8429610.