Least Common Multiple of 9121 and 9125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9121 and 9125 the smallest integer that is 83229125 that is divisible by both numbers.

Least Common Multiple (LCM) of 9121 and 9125 is 83229125.

LCM(9121,9125) = 83229125

LCM of 9121 and 9125

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

LCM of:
and

Least Common Multiple of 9121 and 9125

LCM of 9121 and 9125 is 83229125

Least common multiple can be found by multiplying the highest exponent prime factors of 9121 and 9125. First we will calculate the prime factors of 9121 and 9125.

Prime Factorization of 9121


7 9121
1303 1303
1

Prime factors of 9121 are 7,1303. Prime factorization of 9121 in exponential form is:

9121 = 71×13031

Prime Factorization of 9125


5 9125
5 1825
5 365
73 73
1

Prime factors of 9125 are 5,73. Prime factorization of 9125 in exponential form is:

9125 = 53×731

Now multiplying the highest exponent prime factors to calculate the LCM of 9121 and 9125.

LCM(9121,9125) = 53×71×731×13031
LCM(9121,9125) = 83229125

Factors of 9121

List of positive integer factors of 9121 that divides 9121 without a remainder.

1, 7, 1303, 9121

Factors of 9125

List of positive integer factors of 9125 that divides 9125 without a remainder.

1, 5, 25, 73, 125, 365, 1825, 9125

Least Common Multiple of 9121 and 9125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9121 and 9125, than apply into the LCM equation.

GCF(9121,9125) = 1
LCM(9121,9125) = ( 9121 × 9125) / 1
LCM(9121,9125) = 83229125 / 1
LCM(9121,9125) = 83229125

Properties of LCM 9121 and 9125

(i) The LCM of 9125 and 9121 is associative

LCM of 9121 and 9125 = LCM of 9125 and 9121

Related Least Common Multiples of 9121

Related Least Common Multiples of 9125

Frequently Asked Questions on LCM of 9121 and 9125

1. What is the LCM of 9121 and 9125?

Answer: LCM of 9121 and 9125 is 83229125.

2. What are the Factors of 9121?

Answer: Factors of 9121 are 1, 7, 1303, 9121. There are 4 integers that are factors of 9121. The greatest factor of 9121 is 9121.

3. What are the Factors of 9125?

Answer: Factors of 9125 are 1, 5, 25, 73, 125, 365, 1825, 9125. There are 8 integers that are factors of 9125. The greatest factor of 9125 is 9125.

4. How to Find the LCM of 9121 and 9125?

Answer:

Least Common Multiple of 9121 and 9125 = 83229125

Step 1: Find the prime factorization of 9121

9121 = 7 x 1303

Step 2: Find the prime factorization of 9125

9125 = 5 x 5 x 5 x 73

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

LCM = 83229125 = 5 x 5 x 5 x 7 x 73 x 1303

Step 4: Therefore, the least common multiple of 9121 and 9125 is 83229125.