Least Common Multiple of 4118 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 4118 and 4122 the smallest integer that is 8487198 that is divisible by both numbers.

Least Common Multiple (LCM) of 4118 and 4122 is 8487198.

LCM(4118,4122) = 8487198

LCM of 4118 and 4122

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

LCM of:
and

Least Common Multiple of 4118 and 4122

LCM of 4118 and 4122 is 8487198

Least common multiple can be found by multiplying the highest exponent prime factors of 4118 and 4122. First we will calculate the prime factors of 4118 and 4122.

Prime Factorization of 4118


2 4118
29 2059
71 71
1

Prime factors of 4118 are 2, 29,71. Prime factorization of 4118 in exponential form is:

4118 = 21×291×711

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 4118 and 4122.

LCM(4118,4122) = 21×32×291×711×2291
LCM(4118,4122) = 8487198

Factors of 4118

List of positive integer factors of 4118 that divides 4118 without a remainder.

1, 2, 29, 58, 71, 142, 2059, 4118

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 4118 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 4118 and 4122, than apply into the LCM equation.

GCF(4118,4122) = 2
LCM(4118,4122) = ( 4118 × 4122) / 2
LCM(4118,4122) = 16974396 / 2
LCM(4118,4122) = 8487198

Properties of LCM 4118 and 4122

(i) The LCM of 4122 and 4118 is associative

LCM of 4118 and 4122 = LCM of 4122 and 4118

Related Least Common Multiples of 4118

Related Least Common Multiples of 4122

Frequently Asked Questions on LCM of 4118 and 4122

1. What is the LCM of 4118 and 4122?

Answer: LCM of 4118 and 4122 is 8487198.

2. What are the Factors of 4118?

Answer: Factors of 4118 are 1, 2, 29, 58, 71, 142, 2059, 4118. There are 8 integers that are factors of 4118. The greatest factor of 4118 is 4118.

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 4118 and 4122?

Answer:

Least Common Multiple of 4118 and 4122 = 8487198

Step 1: Find the prime factorization of 4118

4118 = 2 x 29 x 71

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 = 8487198 = 2 x 3 x 3 x 29 x 71 x 229

Step 4: Therefore, the least common multiple of 4118 and 4122 is 8487198.