Least Common Multiple of 121 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 121 and 129 the smallest integer that is 15609 that is divisible by both numbers.

Least Common Multiple (LCM) of 121 and 129 is 15609.

LCM(121,129) = 15609

LCM of 121 and 129

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

LCM of:
and

Least Common Multiple of 121 and 129

LCM of 121 and 129 is 15609

Least common multiple can be found by multiplying the highest exponent prime factors of 121 and 129. First we will calculate the prime factors of 121 and 129.

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

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 121 and 129.

LCM(121,129) = 31×112×431
LCM(121,129) = 15609

Factors of 121

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

1, 11, 121

Factors of 129

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

1, 3, 43, 129

Least Common Multiple of 121 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 121 and 129, than apply into the LCM equation.

GCF(121,129) = 1
LCM(121,129) = ( 121 × 129) / 1
LCM(121,129) = 15609 / 1
LCM(121,129) = 15609

Properties of LCM 121 and 129

(i) The LCM of 129 and 121 is associative

LCM of 121 and 129 = LCM of 129 and 121

Related Least Common Multiples of 121

Related Least Common Multiples of 129

Frequently Asked Questions on LCM of 121 and 129

1. What is the LCM of 121 and 129?

Answer: LCM of 121 and 129 is 15609.

2. 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.

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 121 and 129?

Answer:

Least Common Multiple of 121 and 129 = 15609

Step 1: Find the prime factorization of 121

121 = 11 x 11

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 = 15609 = 3 x 11 x 11 x 43

Step 4: Therefore, the least common multiple of 121 and 129 is 15609.