Least Common Multiple of 4116 and 4122

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 4122 the smallest integer that is 2827692 that is divisible by both numbers.

Least Common Multiple (LCM) of 4116 and 4122 is 2827692.

LCM(4116,4122) = 2827692

LCM of 4116 and 4122

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

LCM of:
and

Least Common Multiple of 4116 and 4122

LCM of 4116 and 4122 is 2827692

Least common multiple can be found by multiplying the highest exponent prime factors of 4116 and 4122. First we will calculate the prime factors of 4116 and 4122.

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 4122


2 4122
3 2061
3 687
229 229
1

Prime factors of 4122 are 2, 3,229. Prime factorization of 4122 in exponential form is:

4122 = 21×32×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 4116 and 4122.

LCM(4116,4122) = 22×32×73×2291
LCM(4116,4122) = 2827692

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 4122

List of positive integer factors of 4122 that divides 4122 without a remainder.

1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122

Least Common Multiple of 4116 and 4122 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 4122, than apply into the LCM equation.

GCF(4116,4122) = 6
LCM(4116,4122) = ( 4116 × 4122) / 6
LCM(4116,4122) = 16966152 / 6
LCM(4116,4122) = 2827692

Properties of LCM 4116 and 4122

(i) The LCM of 4122 and 4116 is associative

LCM of 4116 and 4122 = LCM of 4122 and 4116

Related Least Common Multiples of 4116

Related Least Common Multiples of 4122

Frequently Asked Questions on LCM of 4116 and 4122

1. What is the LCM of 4116 and 4122?

Answer: LCM of 4116 and 4122 is 2827692.

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 4122?

Answer: Factors of 4122 are 1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122. There are 12 integers that are factors of 4122. The greatest factor of 4122 is 4122.

4. How to Find the LCM of 4116 and 4122?

Answer:

Least Common Multiple of 4116 and 4122 = 2827692

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 4122

4122 = 2 x 3 x 3 x 229

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

LCM = 2827692 = 2 x 2 x 3 x 3 x 7 x 7 x 7 x 229

Step 4: Therefore, the least common multiple of 4116 and 4122 is 2827692.