Least Common Multiple of 4122 and 4130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4122 and 4130 the smallest integer that is 8511930 that is divisible by both numbers.

Least Common Multiple (LCM) of 4122 and 4130 is 8511930.

LCM(4122,4130) = 8511930

LCM of 4122 and 4130

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

LCM of:
and

Least Common Multiple of 4122 and 4130

LCM of 4122 and 4130 is 8511930

Least common multiple can be found by multiplying the highest exponent prime factors of 4122 and 4130. First we will calculate the prime factors of 4122 and 4130.

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

Prime Factorization of 4130


2 4130
5 2065
7 413
59 59
1

Prime factors of 4130 are 2, 5, 7,59. Prime factorization of 4130 in exponential form is:

4130 = 21×51×71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4122 and 4130.

LCM(4122,4130) = 21×32×51×71×591×2291
LCM(4122,4130) = 8511930

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

Factors of 4130

List of positive integer factors of 4130 that divides 4130 without a remainder.

1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065, 4130

Least Common Multiple of 4122 and 4130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4122 and 4130, than apply into the LCM equation.

GCF(4122,4130) = 2
LCM(4122,4130) = ( 4122 × 4130) / 2
LCM(4122,4130) = 17023860 / 2
LCM(4122,4130) = 8511930

Properties of LCM 4122 and 4130

(i) The LCM of 4130 and 4122 is associative

LCM of 4122 and 4130 = LCM of 4130 and 4122

Related Least Common Multiples of 4122

Related Least Common Multiples of 4130

Frequently Asked Questions on LCM of 4122 and 4130

1. What is the LCM of 4122 and 4130?

Answer: LCM of 4122 and 4130 is 8511930.

2. 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.

3. What are the Factors of 4130?

Answer: Factors of 4130 are 1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065, 4130. There are 16 integers that are factors of 4130. The greatest factor of 4130 is 4130.

4. How to Find the LCM of 4122 and 4130?

Answer:

Least Common Multiple of 4122 and 4130 = 8511930

Step 1: Find the prime factorization of 4122

4122 = 2 x 3 x 3 x 229

Step 2: Find the prime factorization of 4130

4130 = 2 x 5 x 7 x 59

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

LCM = 8511930 = 2 x 3 x 3 x 5 x 7 x 59 x 229

Step 4: Therefore, the least common multiple of 4122 and 4130 is 8511930.