Least Common Multiple of 125 and 133

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 133 the smallest integer that is 16625 that is divisible by both numbers.

Least Common Multiple (LCM) of 125 and 133 is 16625.

LCM(125,133) = 16625

LCM of 125 and 133

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

LCM of:
and

Least Common Multiple of 125 and 133

LCM of 125 and 133 is 16625

Least common multiple can be found by multiplying the highest exponent prime factors of 125 and 133. First we will calculate the prime factors of 125 and 133.

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 133


7 133
19 19
1

Prime factors of 133 are 7,19. Prime factorization of 133 in exponential form is:

133 = 71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 125 and 133.

LCM(125,133) = 53×71×191
LCM(125,133) = 16625

Factors of 125

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

1, 5, 25, 125

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Least Common Multiple of 125 and 133 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 133, than apply into the LCM equation.

GCF(125,133) = 1
LCM(125,133) = ( 125 × 133) / 1
LCM(125,133) = 16625 / 1
LCM(125,133) = 16625

Properties of LCM 125 and 133

(i) The LCM of 133 and 125 is associative

LCM of 125 and 133 = LCM of 133 and 125

Related Least Common Multiples of 125

Related Least Common Multiples of 133

Frequently Asked Questions on LCM of 125 and 133

1. What is the LCM of 125 and 133?

Answer: LCM of 125 and 133 is 16625.

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 133?

Answer: Factors of 133 are 1, 7, 19, 133. There are 4 integers that are factors of 133. The greatest factor of 133 is 133.

4. How to Find the LCM of 125 and 133?

Answer:

Least Common Multiple of 125 and 133 = 16625

Step 1: Find the prime factorization of 125

125 = 5 x 5 x 5

Step 2: Find the prime factorization of 133

133 = 7 x 19

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

LCM = 16625 = 5 x 5 x 5 x 7 x 19

Step 4: Therefore, the least common multiple of 125 and 133 is 16625.