Least Common Multiple of 2122 and 2130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2122 and 2130 the smallest integer that is 2259930 that is divisible by both numbers.

Least Common Multiple (LCM) of 2122 and 2130 is 2259930.

LCM(2122,2130) = 2259930

LCM of 2122 and 2130

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

LCM of:
and

Least Common Multiple of 2122 and 2130

LCM of 2122 and 2130 is 2259930

Least common multiple can be found by multiplying the highest exponent prime factors of 2122 and 2130. First we will calculate the prime factors of 2122 and 2130.

Prime Factorization of 2122


2 2122
1061 1061
1

Prime factors of 2122 are 2,1061. Prime factorization of 2122 in exponential form is:

2122 = 21×10611

Prime Factorization of 2130


2 2130
3 1065
5 355
71 71
1

Prime factors of 2130 are 2, 3, 5,71. Prime factorization of 2130 in exponential form is:

2130 = 21×31×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2122 and 2130.

LCM(2122,2130) = 21×31×51×711×10611
LCM(2122,2130) = 2259930

Factors of 2122

List of positive integer factors of 2122 that divides 2122 without a remainder.

1, 2, 1061, 2122

Factors of 2130

List of positive integer factors of 2130 that divides 2130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130

Least Common Multiple of 2122 and 2130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2122 and 2130, than apply into the LCM equation.

GCF(2122,2130) = 2
LCM(2122,2130) = ( 2122 × 2130) / 2
LCM(2122,2130) = 4519860 / 2
LCM(2122,2130) = 2259930

Properties of LCM 2122 and 2130

(i) The LCM of 2130 and 2122 is associative

LCM of 2122 and 2130 = LCM of 2130 and 2122

Related Least Common Multiples of 2122

Related Least Common Multiples of 2130

Frequently Asked Questions on LCM of 2122 and 2130

1. What is the LCM of 2122 and 2130?

Answer: LCM of 2122 and 2130 is 2259930.

2. What are the Factors of 2122?

Answer: Factors of 2122 are 1, 2, 1061, 2122. There are 4 integers that are factors of 2122. The greatest factor of 2122 is 2122.

3. What are the Factors of 2130?

Answer: Factors of 2130 are 1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130. There are 16 integers that are factors of 2130. The greatest factor of 2130 is 2130.

4. How to Find the LCM of 2122 and 2130?

Answer:

Least Common Multiple of 2122 and 2130 = 2259930

Step 1: Find the prime factorization of 2122

2122 = 2 x 1061

Step 2: Find the prime factorization of 2130

2130 = 2 x 3 x 5 x 71

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

LCM = 2259930 = 2 x 3 x 5 x 71 x 1061

Step 4: Therefore, the least common multiple of 2122 and 2130 is 2259930.