Least Common Multiple of 118 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 118 and 125 the smallest integer that is 14750 that is divisible by both numbers.

Least Common Multiple (LCM) of 118 and 125 is 14750.

LCM(118,125) = 14750

LCM of 118 and 125

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

LCM of:
and

Least Common Multiple of 118 and 125

LCM of 118 and 125 is 14750

Least common multiple can be found by multiplying the highest exponent prime factors of 118 and 125. First we will calculate the prime factors of 118 and 125.

Prime Factorization of 118


2 118
59 59
1

Prime factors of 118 are 2,59. Prime factorization of 118 in exponential form is:

118 = 21×591

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 118 and 125.

LCM(118,125) = 21×53×591
LCM(118,125) = 14750

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Factors of 125

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

1, 5, 25, 125

Least Common Multiple of 118 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 118 and 125, than apply into the LCM equation.

GCF(118,125) = 1
LCM(118,125) = ( 118 × 125) / 1
LCM(118,125) = 14750 / 1
LCM(118,125) = 14750

Properties of LCM 118 and 125

(i) The LCM of 125 and 118 is associative

LCM of 118 and 125 = LCM of 125 and 118

Related Least Common Multiples of 118

Related Least Common Multiples of 125

Frequently Asked Questions on LCM of 118 and 125

1. What is the LCM of 118 and 125?

Answer: LCM of 118 and 125 is 14750.

2. What are the Factors of 118?

Answer: Factors of 118 are 1, 2, 59, 118. There are 4 integers that are factors of 118. The greatest factor of 118 is 118.

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 118 and 125?

Answer:

Least Common Multiple of 118 and 125 = 14750

Step 1: Find the prime factorization of 118

118 = 2 x 59

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 = 14750 = 2 x 5 x 5 x 5 x 59

Step 4: Therefore, the least common multiple of 118 and 125 is 14750.