Least Common Multiple of 121 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 121 and 125 the smallest integer that is 15125 that is divisible by both numbers.

Least Common Multiple (LCM) of 121 and 125 is 15125.

LCM(121,125) = 15125

LCM of 121 and 125

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

LCM of:
and

Least Common Multiple of 121 and 125

LCM of 121 and 125 is 15125

Least common multiple can be found by multiplying the highest exponent prime factors of 121 and 125. First we will calculate the prime factors of 121 and 125.

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 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 121 and 125.

LCM(121,125) = 53×112
LCM(121,125) = 15125

Factors of 121

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

1, 11, 121

Factors of 125

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

1, 5, 25, 125

Least Common Multiple of 121 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 121 and 125, than apply into the LCM equation.

GCF(121,125) = 1
LCM(121,125) = ( 121 × 125) / 1
LCM(121,125) = 15125 / 1
LCM(121,125) = 15125

Properties of LCM 121 and 125

(i) The LCM of 125 and 121 is associative

LCM of 121 and 125 = LCM of 125 and 121

Related Least Common Multiples of 121

Related Least Common Multiples of 125

Frequently Asked Questions on LCM of 121 and 125

1. What is the LCM of 121 and 125?

Answer: LCM of 121 and 125 is 15125.

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 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 121 and 125?

Answer:

Least Common Multiple of 121 and 125 = 15125

Step 1: Find the prime factorization of 121

121 = 11 x 11

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 = 15125 = 5 x 5 x 5 x 11 x 11

Step 4: Therefore, the least common multiple of 121 and 125 is 15125.