Least Common Multiple of 117 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 117 and 121 the smallest integer that is 14157 that is divisible by both numbers.

Least Common Multiple (LCM) of 117 and 121 is 14157.

LCM(117,121) = 14157

LCM of 117 and 121

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

LCM of:
and

Least Common Multiple of 117 and 121

LCM of 117 and 121 is 14157

Least common multiple can be found by multiplying the highest exponent prime factors of 117 and 121. First we will calculate the prime factors of 117 and 121.

Prime Factorization of 117


3 117
3 39
13 13
1

Prime factors of 117 are 3,13. Prime factorization of 117 in exponential form is:

117 = 32×131

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 117 and 121.

LCM(117,121) = 32×112×131
LCM(117,121) = 14157

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Factors of 121

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

1, 11, 121

Least Common Multiple of 117 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 117 and 121, than apply into the LCM equation.

GCF(117,121) = 1
LCM(117,121) = ( 117 × 121) / 1
LCM(117,121) = 14157 / 1
LCM(117,121) = 14157

Properties of LCM 117 and 121

(i) The LCM of 121 and 117 is associative

LCM of 117 and 121 = LCM of 121 and 117

Related Least Common Multiples of 117

Related Least Common Multiples of 121

Frequently Asked Questions on LCM of 117 and 121

1. What is the LCM of 117 and 121?

Answer: LCM of 117 and 121 is 14157.

2. What are the Factors of 117?

Answer: Factors of 117 are 1, 3, 9, 13, 39, 117. There are 6 integers that are factors of 117. The greatest factor of 117 is 117.

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 117 and 121?

Answer:

Least Common Multiple of 117 and 121 = 14157

Step 1: Find the prime factorization of 117

117 = 3 x 3 x 13

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 = 14157 = 3 x 3 x 11 x 11 x 13

Step 4: Therefore, the least common multiple of 117 and 121 is 14157.