Least Common Multiple of 114 and 121

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 121 the smallest integer that is 13794 that is divisible by both numbers.

Least Common Multiple (LCM) of 114 and 121 is 13794.

LCM(114,121) = 13794

LCM of 114 and 121

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

LCM of:
and

Least Common Multiple of 114 and 121

LCM of 114 and 121 is 13794

Least common multiple can be found by multiplying the highest exponent prime factors of 114 and 121. First we will calculate the prime factors of 114 and 121.

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 121


11 121
11 11
1

Prime factors of 121 are 11. Prime factorization of 121 in exponential form is:

121 = 112

Now multiplying the highest exponent prime factors to calculate the LCM of 114 and 121.

LCM(114,121) = 21×31×112×191
LCM(114,121) = 13794

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 121

List of positive integer factors of 121 that divides 121 without a remainder.

1, 11, 121

Least Common Multiple of 114 and 121 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 121, than apply into the LCM equation.

GCF(114,121) = 1
LCM(114,121) = ( 114 × 121) / 1
LCM(114,121) = 13794 / 1
LCM(114,121) = 13794

Properties of LCM 114 and 121

(i) The LCM of 121 and 114 is associative

LCM of 114 and 121 = LCM of 121 and 114

Related Least Common Multiples of 114

Related Least Common Multiples of 121

Frequently Asked Questions on LCM of 114 and 121

1. What is the LCM of 114 and 121?

Answer: LCM of 114 and 121 is 13794.

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 121?

Answer: Factors of 121 are 1, 11, 121. There are 3 integers that are factors of 121. The greatest factor of 121 is 121.

4. How to Find the LCM of 114 and 121?

Answer:

Least Common Multiple of 114 and 121 = 13794

Step 1: Find the prime factorization of 114

114 = 2 x 3 x 19

Step 2: Find the prime factorization of 121

121 = 11 x 11

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

LCM = 13794 = 2 x 3 x 11 x 11 x 19

Step 4: Therefore, the least common multiple of 114 and 121 is 13794.