Least Common Multiple of 114 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 114 and 122 the smallest integer that is 6954 that is divisible by both numbers.

Least Common Multiple (LCM) of 114 and 122 is 6954.

LCM(114,122) = 6954

LCM of 114 and 122

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

LCM of:
and

Least Common Multiple of 114 and 122

LCM of 114 and 122 is 6954

Least common multiple can be found by multiplying the highest exponent prime factors of 114 and 122. First we will calculate the prime factors of 114 and 122.

Prime Factorization of 114


2 114
3 57
19 19
1

Prime factors of 114 are 2, 3,19. Prime factorization of 114 in exponential form is:

114 = 21×31×191

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 114 and 122.

LCM(114,122) = 21×31×191×611
LCM(114,122) = 6954

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Factors of 122

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

1, 2, 61, 122

Least Common Multiple of 114 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 114 and 122, than apply into the LCM equation.

GCF(114,122) = 2
LCM(114,122) = ( 114 × 122) / 2
LCM(114,122) = 13908 / 2
LCM(114,122) = 6954

Properties of LCM 114 and 122

(i) The LCM of 122 and 114 is associative

LCM of 114 and 122 = LCM of 122 and 114

Related Least Common Multiples of 114

Related Least Common Multiples of 122

Frequently Asked Questions on LCM of 114 and 122

1. What is the LCM of 114 and 122?

Answer: LCM of 114 and 122 is 6954.

2. What are the Factors of 114?

Answer: Factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114. There are 8 integers that are factors of 114. The greatest factor of 114 is 114.

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 114 and 122?

Answer:

Least Common Multiple of 114 and 122 = 6954

Step 1: Find the prime factorization of 114

114 = 2 x 3 x 19

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 = 6954 = 2 x 3 x 19 x 61

Step 4: Therefore, the least common multiple of 114 and 122 is 6954.