Least Common Multiple of 122 and 130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 122 and 130 the smallest integer that is 7930 that is divisible by both numbers.

Least Common Multiple (LCM) of 122 and 130 is 7930.

LCM(122,130) = 7930

LCM of 122 and 130

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

LCM of:
and

Least Common Multiple of 122 and 130

LCM of 122 and 130 is 7930

Least common multiple can be found by multiplying the highest exponent prime factors of 122 and 130. First we will calculate the prime factors of 122 and 130.

Prime Factorization of 122


2 122
61 61
1

Prime factors of 122 are 2,61. Prime factorization of 122 in exponential form is:

122 = 21×611

Prime Factorization of 130


2 130
5 65
13 13
1

Prime factors of 130 are 2, 5,13. Prime factorization of 130 in exponential form is:

130 = 21×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 122 and 130.

LCM(122,130) = 21×51×131×611
LCM(122,130) = 7930

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Least Common Multiple of 122 and 130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 122 and 130, than apply into the LCM equation.

GCF(122,130) = 2
LCM(122,130) = ( 122 × 130) / 2
LCM(122,130) = 15860 / 2
LCM(122,130) = 7930

Properties of LCM 122 and 130

(i) The LCM of 130 and 122 is associative

LCM of 122 and 130 = LCM of 130 and 122

Related Least Common Multiples of 122

Related Least Common Multiples of 130

Frequently Asked Questions on LCM of 122 and 130

1. What is the LCM of 122 and 130?

Answer: LCM of 122 and 130 is 7930.

2. What are the Factors of 122?

Answer: Factors of 122 are 1, 2, 61, 122. There are 4 integers that are factors of 122. The greatest factor of 122 is 122.

3. What are the Factors of 130?

Answer: Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. There are 8 integers that are factors of 130. The greatest factor of 130 is 130.

4. How to Find the LCM of 122 and 130?

Answer:

Least Common Multiple of 122 and 130 = 7930

Step 1: Find the prime factorization of 122

122 = 2 x 61

Step 2: Find the prime factorization of 130

130 = 2 x 5 x 13

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

LCM = 7930 = 2 x 5 x 13 x 61

Step 4: Therefore, the least common multiple of 122 and 130 is 7930.