Least Common Multiple of 4105 and 4109

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 4109 the smallest integer that is 16867445 that is divisible by both numbers.

Least Common Multiple (LCM) of 4105 and 4109 is 16867445.

LCM(4105,4109) = 16867445

LCM of 4105 and 4109

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

LCM of:
and

Least Common Multiple of 4105 and 4109

LCM of 4105 and 4109 is 16867445

Least common multiple can be found by multiplying the highest exponent prime factors of 4105 and 4109. First we will calculate the prime factors of 4105 and 4109.

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 4109


7 4109
587 587
1

Prime factors of 4109 are 7,587. Prime factorization of 4109 in exponential form is:

4109 = 71×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 4105 and 4109.

LCM(4105,4109) = 51×71×5871×8211
LCM(4105,4109) = 16867445

Factors of 4105

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

1, 5, 821, 4105

Factors of 4109

List of positive integer factors of 4109 that divides 4109 without a remainder.

1, 7, 587, 4109

Least Common Multiple of 4105 and 4109 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 4109, than apply into the LCM equation.

GCF(4105,4109) = 1
LCM(4105,4109) = ( 4105 × 4109) / 1
LCM(4105,4109) = 16867445 / 1
LCM(4105,4109) = 16867445

Properties of LCM 4105 and 4109

(i) The LCM of 4109 and 4105 is associative

LCM of 4105 and 4109 = LCM of 4109 and 4105

Related Least Common Multiples of 4105

Related Least Common Multiples of 4109

Frequently Asked Questions on LCM of 4105 and 4109

1. What is the LCM of 4105 and 4109?

Answer: LCM of 4105 and 4109 is 16867445.

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 4109?

Answer: Factors of 4109 are 1, 7, 587, 4109. There are 4 integers that are factors of 4109. The greatest factor of 4109 is 4109.

4. How to Find the LCM of 4105 and 4109?

Answer:

Least Common Multiple of 4105 and 4109 = 16867445

Step 1: Find the prime factorization of 4105

4105 = 5 x 821

Step 2: Find the prime factorization of 4109

4109 = 7 x 587

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

LCM = 16867445 = 5 x 7 x 587 x 821

Step 4: Therefore, the least common multiple of 4105 and 4109 is 16867445.