Least Common Multiple of 4108 and 4116

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 4116 the smallest integer that is 4227132 that is divisible by both numbers.

Least Common Multiple (LCM) of 4108 and 4116 is 4227132.

LCM(4108,4116) = 4227132

LCM of 4108 and 4116

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

LCM of:
and

Least Common Multiple of 4108 and 4116

LCM of 4108 and 4116 is 4227132

Least common multiple can be found by multiplying the highest exponent prime factors of 4108 and 4116. First we will calculate the prime factors of 4108 and 4116.

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 4116


2 4116
2 2058
3 1029
7 343
7 49
7 7
1

Prime factors of 4116 are 2, 3,7. Prime factorization of 4116 in exponential form is:

4116 = 22×31×73

Now multiplying the highest exponent prime factors to calculate the LCM of 4108 and 4116.

LCM(4108,4116) = 22×31×73×131×791
LCM(4108,4116) = 4227132

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 4116

List of positive integer factors of 4116 that divides 4116 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116

Least Common Multiple of 4108 and 4116 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 4116, than apply into the LCM equation.

GCF(4108,4116) = 4
LCM(4108,4116) = ( 4108 × 4116) / 4
LCM(4108,4116) = 16908528 / 4
LCM(4108,4116) = 4227132

Properties of LCM 4108 and 4116

(i) The LCM of 4116 and 4108 is associative

LCM of 4108 and 4116 = LCM of 4116 and 4108

Related Least Common Multiples of 4108

Related Least Common Multiples of 4116

Frequently Asked Questions on LCM of 4108 and 4116

1. What is the LCM of 4108 and 4116?

Answer: LCM of 4108 and 4116 is 4227132.

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 4116?

Answer: Factors of 4116 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116. There are 24 integers that are factors of 4116. The greatest factor of 4116 is 4116.

4. How to Find the LCM of 4108 and 4116?

Answer:

Least Common Multiple of 4108 and 4116 = 4227132

Step 1: Find the prime factorization of 4108

4108 = 2 x 2 x 13 x 79

Step 2: Find the prime factorization of 4116

4116 = 2 x 2 x 3 x 7 x 7 x 7

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

LCM = 4227132 = 2 x 2 x 3 x 7 x 7 x 7 x 13 x 79

Step 4: Therefore, the least common multiple of 4108 and 4116 is 4227132.