Least Common Multiple of 116 and 122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 116 and 122 the smallest integer that is 7076 that is divisible by both numbers.

Least Common Multiple (LCM) of 116 and 122 is 7076.

LCM(116,122) = 7076

LCM of 116 and 122

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

LCM of:
and

Least Common Multiple of 116 and 122

LCM of 116 and 122 is 7076

Least common multiple can be found by multiplying the highest exponent prime factors of 116 and 122. First we will calculate the prime factors of 116 and 122.

Prime Factorization of 116


2 116
2 58
29 29
1

Prime factors of 116 are 2,29. Prime factorization of 116 in exponential form is:

116 = 22×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 116 and 122.

LCM(116,122) = 22×291×611
LCM(116,122) = 7076

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Factors of 122

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

1, 2, 61, 122

Least Common Multiple of 116 and 122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 116 and 122, than apply into the LCM equation.

GCF(116,122) = 2
LCM(116,122) = ( 116 × 122) / 2
LCM(116,122) = 14152 / 2
LCM(116,122) = 7076

Properties of LCM 116 and 122

(i) The LCM of 122 and 116 is associative

LCM of 116 and 122 = LCM of 122 and 116

Related Least Common Multiples of 116

Related Least Common Multiples of 122

Frequently Asked Questions on LCM of 116 and 122

1. What is the LCM of 116 and 122?

Answer: LCM of 116 and 122 is 7076.

2. What are the Factors of 116?

Answer: Factors of 116 are 1, 2, 4, 29, 58, 116. There are 6 integers that are factors of 116. The greatest factor of 116 is 116.

3. 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.

4. How to Find the LCM of 116 and 122?

Answer:

Least Common Multiple of 116 and 122 = 7076

Step 1: Find the prime factorization of 116

116 = 2 x 2 x 29

Step 2: Find the prime factorization of 122

122 = 2 x 61

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

LCM = 7076 = 2 x 2 x 29 x 61

Step 4: Therefore, the least common multiple of 116 and 122 is 7076.