Least Common Multiple of 4106 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 4106 and 4108 the smallest integer that is 8433724 that is divisible by both numbers.

Least Common Multiple (LCM) of 4106 and 4108 is 8433724.

LCM(4106,4108) = 8433724

LCM of 4106 and 4108

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

LCM of:
and

Least Common Multiple of 4106 and 4108

LCM of 4106 and 4108 is 8433724

Least common multiple can be found by multiplying the highest exponent prime factors of 4106 and 4108. First we will calculate the prime factors of 4106 and 4108.

Prime Factorization of 4106


2 4106
2053 2053
1

Prime factors of 4106 are 2,2053. Prime factorization of 4106 in exponential form is:

4106 = 21×20531

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 4106 and 4108.

LCM(4106,4108) = 22×131×791×20531
LCM(4106,4108) = 8433724

Factors of 4106

List of positive integer factors of 4106 that divides 4106 without a remainder.

1, 2, 2053, 4106

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 4106 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 4106 and 4108, than apply into the LCM equation.

GCF(4106,4108) = 2
LCM(4106,4108) = ( 4106 × 4108) / 2
LCM(4106,4108) = 16867448 / 2
LCM(4106,4108) = 8433724

Properties of LCM 4106 and 4108

(i) The LCM of 4108 and 4106 is associative

LCM of 4106 and 4108 = LCM of 4108 and 4106

Related Least Common Multiples of 4106

Related Least Common Multiples of 4108

Frequently Asked Questions on LCM of 4106 and 4108

1. What is the LCM of 4106 and 4108?

Answer: LCM of 4106 and 4108 is 8433724.

2. What are the Factors of 4106?

Answer: Factors of 4106 are 1, 2, 2053, 4106. There are 4 integers that are factors of 4106. The greatest factor of 4106 is 4106.

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 4106 and 4108?

Answer:

Least Common Multiple of 4106 and 4108 = 8433724

Step 1: Find the prime factorization of 4106

4106 = 2 x 2053

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 = 8433724 = 2 x 2 x 13 x 79 x 2053

Step 4: Therefore, the least common multiple of 4106 and 4108 is 8433724.