Least Common Multiple of 4116 and 4121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4116 and 4121 the smallest integer that is 16962036 that is divisible by both numbers.

Least Common Multiple (LCM) of 4116 and 4121 is 16962036.

LCM(4116,4121) = 16962036

LCM of 4116 and 4121

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

LCM of:
and

Least Common Multiple of 4116 and 4121

LCM of 4116 and 4121 is 16962036

Least common multiple can be found by multiplying the highest exponent prime factors of 4116 and 4121. First we will calculate the prime factors of 4116 and 4121.

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

Prime Factorization of 4121


13 4121
317 317
1

Prime factors of 4121 are 13,317. Prime factorization of 4121 in exponential form is:

4121 = 131×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 4116 and 4121.

LCM(4116,4121) = 22×31×73×131×3171
LCM(4116,4121) = 16962036

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

Factors of 4121

List of positive integer factors of 4121 that divides 4121 without a remainder.

1, 13, 317, 4121

Least Common Multiple of 4116 and 4121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4116 and 4121, than apply into the LCM equation.

GCF(4116,4121) = 1
LCM(4116,4121) = ( 4116 × 4121) / 1
LCM(4116,4121) = 16962036 / 1
LCM(4116,4121) = 16962036

Properties of LCM 4116 and 4121

(i) The LCM of 4121 and 4116 is associative

LCM of 4116 and 4121 = LCM of 4121 and 4116

Related Least Common Multiples of 4116

Related Least Common Multiples of 4121

Frequently Asked Questions on LCM of 4116 and 4121

1. What is the LCM of 4116 and 4121?

Answer: LCM of 4116 and 4121 is 16962036.

2. 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.

3. What are the Factors of 4121?

Answer: Factors of 4121 are 1, 13, 317, 4121. There are 4 integers that are factors of 4121. The greatest factor of 4121 is 4121.

4. How to Find the LCM of 4116 and 4121?

Answer:

Least Common Multiple of 4116 and 4121 = 16962036

Step 1: Find the prime factorization of 4116

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

Step 2: Find the prime factorization of 4121

4121 = 13 x 317

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

LCM = 16962036 = 2 x 2 x 3 x 7 x 7 x 7 x 13 x 317

Step 4: Therefore, the least common multiple of 4116 and 4121 is 16962036.