Least Common Multiple of 117 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 117 and 122 the smallest integer that is 14274 that is divisible by both numbers.

Least Common Multiple (LCM) of 117 and 122 is 14274.

LCM(117,122) = 14274

LCM of 117 and 122

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

LCM of:
and

Least Common Multiple of 117 and 122

LCM of 117 and 122 is 14274

Least common multiple can be found by multiplying the highest exponent prime factors of 117 and 122. First we will calculate the prime factors of 117 and 122.

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 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 117 and 122.

LCM(117,122) = 21×32×131×611
LCM(117,122) = 14274

Factors of 117

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

1, 3, 9, 13, 39, 117

Factors of 122

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

1, 2, 61, 122

Least Common Multiple of 117 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 117 and 122, than apply into the LCM equation.

GCF(117,122) = 1
LCM(117,122) = ( 117 × 122) / 1
LCM(117,122) = 14274 / 1
LCM(117,122) = 14274

Properties of LCM 117 and 122

(i) The LCM of 122 and 117 is associative

LCM of 117 and 122 = LCM of 122 and 117

Related Least Common Multiples of 117

Related Least Common Multiples of 122

Frequently Asked Questions on LCM of 117 and 122

1. What is the LCM of 117 and 122?

Answer: LCM of 117 and 122 is 14274.

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 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 117 and 122?

Answer:

Least Common Multiple of 117 and 122 = 14274

Step 1: Find the prime factorization of 117

117 = 3 x 3 x 13

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 = 14274 = 2 x 3 x 3 x 13 x 61

Step 4: Therefore, the least common multiple of 117 and 122 is 14274.