Least Common Multiple of 4111 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 4111 and 4116 the smallest integer that is 16920876 that is divisible by both numbers.

Least Common Multiple (LCM) of 4111 and 4116 is 16920876.

LCM(4111,4116) = 16920876

LCM of 4111 and 4116

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

LCM of:
and

Least Common Multiple of 4111 and 4116

LCM of 4111 and 4116 is 16920876

Least common multiple can be found by multiplying the highest exponent prime factors of 4111 and 4116. First we will calculate the prime factors of 4111 and 4116.

Prime Factorization of 4111


4111 4111
1

Prime factors of 4111 are 4111. Prime factorization of 4111 in exponential form is:

4111 = 41111

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 4111 and 4116.

LCM(4111,4116) = 22×31×73×41111
LCM(4111,4116) = 16920876

Factors of 4111

List of positive integer factors of 4111 that divides 4111 without a remainder.

1, 4111

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 4111 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 4111 and 4116, than apply into the LCM equation.

GCF(4111,4116) = 1
LCM(4111,4116) = ( 4111 × 4116) / 1
LCM(4111,4116) = 16920876 / 1
LCM(4111,4116) = 16920876

Properties of LCM 4111 and 4116

(i) The LCM of 4116 and 4111 is associative

LCM of 4111 and 4116 = LCM of 4116 and 4111

Related Least Common Multiples of 4111

Related Least Common Multiples of 4116

Frequently Asked Questions on LCM of 4111 and 4116

1. What is the LCM of 4111 and 4116?

Answer: LCM of 4111 and 4116 is 16920876.

2. What are the Factors of 4111?

Answer: Factors of 4111 are 1, 4111. There are 2 integers that are factors of 4111. The greatest factor of 4111 is 4111.

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 4111 and 4116?

Answer:

Least Common Multiple of 4111 and 4116 = 16920876

Step 1: Find the prime factorization of 4111

4111 = 4111

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 = 16920876 = 2 x 2 x 3 x 7 x 7 x 7 x 4111

Step 4: Therefore, the least common multiple of 4111 and 4116 is 16920876.