Least Common Multiple of 122 and 129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 122 and 129 the smallest integer that is 15738 that is divisible by both numbers.

Least Common Multiple (LCM) of 122 and 129 is 15738.

LCM(122,129) = 15738

LCM of 122 and 129

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

LCM of:
and

Least Common Multiple of 122 and 129

LCM of 122 and 129 is 15738

Least common multiple can be found by multiplying the highest exponent prime factors of 122 and 129. First we will calculate the prime factors of 122 and 129.

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

Prime Factorization of 129


3 129
43 43
1

Prime factors of 129 are 3,43. Prime factorization of 129 in exponential form is:

129 = 31×431

Now multiplying the highest exponent prime factors to calculate the LCM of 122 and 129.

LCM(122,129) = 21×31×431×611
LCM(122,129) = 15738

Factors of 122

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

1, 2, 61, 122

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Least Common Multiple of 122 and 129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 122 and 129, than apply into the LCM equation.

GCF(122,129) = 1
LCM(122,129) = ( 122 × 129) / 1
LCM(122,129) = 15738 / 1
LCM(122,129) = 15738

Properties of LCM 122 and 129

(i) The LCM of 129 and 122 is associative

LCM of 122 and 129 = LCM of 129 and 122

Related Least Common Multiples of 122

Related Least Common Multiples of 129

Frequently Asked Questions on LCM of 122 and 129

1. What is the LCM of 122 and 129?

Answer: LCM of 122 and 129 is 15738.

2. 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.

3. What are the Factors of 129?

Answer: Factors of 129 are 1, 3, 43, 129. There are 4 integers that are factors of 129. The greatest factor of 129 is 129.

4. How to Find the LCM of 122 and 129?

Answer:

Least Common Multiple of 122 and 129 = 15738

Step 1: Find the prime factorization of 122

122 = 2 x 61

Step 2: Find the prime factorization of 129

129 = 3 x 43

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

LCM = 15738 = 2 x 3 x 43 x 61

Step 4: Therefore, the least common multiple of 122 and 129 is 15738.