Least Common Multiple of 4108 and 4115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4108 and 4115 the smallest integer that is 16904420 that is divisible by both numbers.

Least Common Multiple (LCM) of 4108 and 4115 is 16904420.

LCM(4108,4115) = 16904420

LCM of 4108 and 4115

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

LCM of:
and

Least Common Multiple of 4108 and 4115

LCM of 4108 and 4115 is 16904420

Least common multiple can be found by multiplying the highest exponent prime factors of 4108 and 4115. First we will calculate the prime factors of 4108 and 4115.

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

Prime Factorization of 4115


5 4115
823 823
1

Prime factors of 4115 are 5,823. Prime factorization of 4115 in exponential form is:

4115 = 51×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 4108 and 4115.

LCM(4108,4115) = 22×51×131×791×8231
LCM(4108,4115) = 16904420

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

Factors of 4115

List of positive integer factors of 4115 that divides 4115 without a remainder.

1, 5, 823, 4115

Least Common Multiple of 4108 and 4115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4108 and 4115, than apply into the LCM equation.

GCF(4108,4115) = 1
LCM(4108,4115) = ( 4108 × 4115) / 1
LCM(4108,4115) = 16904420 / 1
LCM(4108,4115) = 16904420

Properties of LCM 4108 and 4115

(i) The LCM of 4115 and 4108 is associative

LCM of 4108 and 4115 = LCM of 4115 and 4108

Related Least Common Multiples of 4108

Related Least Common Multiples of 4115

Frequently Asked Questions on LCM of 4108 and 4115

1. What is the LCM of 4108 and 4115?

Answer: LCM of 4108 and 4115 is 16904420.

2. 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.

3. What are the Factors of 4115?

Answer: Factors of 4115 are 1, 5, 823, 4115. There are 4 integers that are factors of 4115. The greatest factor of 4115 is 4115.

4. How to Find the LCM of 4108 and 4115?

Answer:

Least Common Multiple of 4108 and 4115 = 16904420

Step 1: Find the prime factorization of 4108

4108 = 2 x 2 x 13 x 79

Step 2: Find the prime factorization of 4115

4115 = 5 x 823

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

LCM = 16904420 = 2 x 2 x 5 x 13 x 79 x 823

Step 4: Therefore, the least common multiple of 4108 and 4115 is 16904420.