Least Common Multiple of 4105 and 4108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4105 and 4108 the smallest integer that is 16863340 that is divisible by both numbers.

Least Common Multiple (LCM) of 4105 and 4108 is 16863340.

LCM(4105,4108) = 16863340

LCM of 4105 and 4108

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

LCM of:
and

Least Common Multiple of 4105 and 4108

LCM of 4105 and 4108 is 16863340

Least common multiple can be found by multiplying the highest exponent prime factors of 4105 and 4108. First we will calculate the prime factors of 4105 and 4108.

Prime Factorization of 4105


5 4105
821 821
1

Prime factors of 4105 are 5,821. Prime factorization of 4105 in exponential form is:

4105 = 51×8211

Prime Factorization of 4108


2 4108
2 2054
13 1027
79 79
1

Prime factors of 4108 are 2, 13,79. Prime factorization of 4108 in exponential form is:

4108 = 22×131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4105 and 4108.

LCM(4105,4108) = 22×51×131×791×8211
LCM(4105,4108) = 16863340

Factors of 4105

List of positive integer factors of 4105 that divides 4105 without a remainder.

1, 5, 821, 4105

Factors of 4108

List of positive integer factors of 4108 that divides 4108 without a remainder.

1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108

Least Common Multiple of 4105 and 4108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4105 and 4108, than apply into the LCM equation.

GCF(4105,4108) = 1
LCM(4105,4108) = ( 4105 × 4108) / 1
LCM(4105,4108) = 16863340 / 1
LCM(4105,4108) = 16863340

Properties of LCM 4105 and 4108

(i) The LCM of 4108 and 4105 is associative

LCM of 4105 and 4108 = LCM of 4108 and 4105

Related Least Common Multiples of 4105

Related Least Common Multiples of 4108

Frequently Asked Questions on LCM of 4105 and 4108

1. What is the LCM of 4105 and 4108?

Answer: LCM of 4105 and 4108 is 16863340.

2. What are the Factors of 4105?

Answer: Factors of 4105 are 1, 5, 821, 4105. There are 4 integers that are factors of 4105. The greatest factor of 4105 is 4105.

3. What are the Factors of 4108?

Answer: Factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108. There are 12 integers that are factors of 4108. The greatest factor of 4108 is 4108.

4. How to Find the LCM of 4105 and 4108?

Answer:

Least Common Multiple of 4105 and 4108 = 16863340

Step 1: Find the prime factorization of 4105

4105 = 5 x 821

Step 2: Find the prime factorization of 4108

4108 = 2 x 2 x 13 x 79

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

LCM = 16863340 = 2 x 2 x 5 x 13 x 79 x 821

Step 4: Therefore, the least common multiple of 4105 and 4108 is 16863340.