Least Common Multiple of 125 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 125 and 129 the smallest integer that is 16125 that is divisible by both numbers.

Least Common Multiple (LCM) of 125 and 129 is 16125.

LCM(125,129) = 16125

LCM of 125 and 129

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

LCM of:
and

Least Common Multiple of 125 and 129

LCM of 125 and 129 is 16125

Least common multiple can be found by multiplying the highest exponent prime factors of 125 and 129. First we will calculate the prime factors of 125 and 129.

Prime Factorization of 125


5 125
5 25
5 5
1

Prime factors of 125 are 5. Prime factorization of 125 in exponential form is:

125 = 53

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 125 and 129.

LCM(125,129) = 31×53×431
LCM(125,129) = 16125

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Factors of 129

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

1, 3, 43, 129

Least Common Multiple of 125 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 125 and 129, than apply into the LCM equation.

GCF(125,129) = 1
LCM(125,129) = ( 125 × 129) / 1
LCM(125,129) = 16125 / 1
LCM(125,129) = 16125

Properties of LCM 125 and 129

(i) The LCM of 129 and 125 is associative

LCM of 125 and 129 = LCM of 129 and 125

Related Least Common Multiples of 125

Related Least Common Multiples of 129

Frequently Asked Questions on LCM of 125 and 129

1. What is the LCM of 125 and 129?

Answer: LCM of 125 and 129 is 16125.

2. What are the Factors of 125?

Answer: Factors of 125 are 1, 5, 25, 125. There are 4 integers that are factors of 125. The greatest factor of 125 is 125.

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 125 and 129?

Answer:

Least Common Multiple of 125 and 129 = 16125

Step 1: Find the prime factorization of 125

125 = 5 x 5 x 5

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 = 16125 = 3 x 5 x 5 x 5 x 43

Step 4: Therefore, the least common multiple of 125 and 129 is 16125.