Least Common Multiple of 117 and 125

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 125 the smallest integer that is 14625 that is divisible by both numbers.

Least Common Multiple (LCM) of 117 and 125 is 14625.

LCM(117,125) = 14625

LCM of 117 and 125

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

LCM of:
and

Least Common Multiple of 117 and 125

LCM of 117 and 125 is 14625

Least common multiple can be found by multiplying the highest exponent prime factors of 117 and 125. First we will calculate the prime factors of 117 and 125.

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 125


5 125
5 25
5 5
1

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

125 = 53

Now multiplying the highest exponent prime factors to calculate the LCM of 117 and 125.

LCM(117,125) = 32×53×131
LCM(117,125) = 14625

Factors of 117

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

1, 3, 9, 13, 39, 117

Factors of 125

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

1, 5, 25, 125

Least Common Multiple of 117 and 125 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 125, than apply into the LCM equation.

GCF(117,125) = 1
LCM(117,125) = ( 117 × 125) / 1
LCM(117,125) = 14625 / 1
LCM(117,125) = 14625

Properties of LCM 117 and 125

(i) The LCM of 125 and 117 is associative

LCM of 117 and 125 = LCM of 125 and 117

Related Least Common Multiples of 117

Related Least Common Multiples of 125

Frequently Asked Questions on LCM of 117 and 125

1. What is the LCM of 117 and 125?

Answer: LCM of 117 and 125 is 14625.

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 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.

4. How to Find the LCM of 117 and 125?

Answer:

Least Common Multiple of 117 and 125 = 14625

Step 1: Find the prime factorization of 117

117 = 3 x 3 x 13

Step 2: Find the prime factorization of 125

125 = 5 x 5 x 5

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

LCM = 14625 = 3 x 3 x 5 x 5 x 5 x 13

Step 4: Therefore, the least common multiple of 117 and 125 is 14625.