Least Common Multiple of 12425 and 12433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12425 and 12433 the smallest integer that is 154480025 that is divisible by both numbers.

Least Common Multiple (LCM) of 12425 and 12433 is 154480025.

LCM(12425,12433) = 154480025

LCM of 12425 and 12433

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

LCM of:
and

Least Common Multiple of 12425 and 12433

LCM of 12425 and 12433 is 154480025

Least common multiple can be found by multiplying the highest exponent prime factors of 12425 and 12433. First we will calculate the prime factors of 12425 and 12433.

Prime Factorization of 12425


5 12425
5 2485
7 497
71 71
1

Prime factors of 12425 are 5, 7,71. Prime factorization of 12425 in exponential form is:

12425 = 52×71×711

Prime Factorization of 12433


12433 12433
1

Prime factors of 12433 are 12433. Prime factorization of 12433 in exponential form is:

12433 = 124331

Now multiplying the highest exponent prime factors to calculate the LCM of 12425 and 12433.

LCM(12425,12433) = 52×71×711×124331
LCM(12425,12433) = 154480025

Factors of 12425

List of positive integer factors of 12425 that divides 12425 without a remainder.

1, 5, 7, 25, 35, 71, 175, 355, 497, 1775, 2485, 12425

Factors of 12433

List of positive integer factors of 12433 that divides 12433 without a remainder.

1, 12433

Least Common Multiple of 12425 and 12433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12425 and 12433, than apply into the LCM equation.

GCF(12425,12433) = 1
LCM(12425,12433) = ( 12425 × 12433) / 1
LCM(12425,12433) = 154480025 / 1
LCM(12425,12433) = 154480025

Properties of LCM 12425 and 12433

(i) The LCM of 12433 and 12425 is associative

LCM of 12425 and 12433 = LCM of 12433 and 12425

Related Least Common Multiples of 12425

Related Least Common Multiples of 12433

Frequently Asked Questions on LCM of 12425 and 12433

1. What is the LCM of 12425 and 12433?

Answer: LCM of 12425 and 12433 is 154480025.

2. What are the Factors of 12425?

Answer: Factors of 12425 are 1, 5, 7, 25, 35, 71, 175, 355, 497, 1775, 2485, 12425. There are 12 integers that are factors of 12425. The greatest factor of 12425 is 12425.

3. What are the Factors of 12433?

Answer: Factors of 12433 are 1, 12433. There are 2 integers that are factors of 12433. The greatest factor of 12433 is 12433.

4. How to Find the LCM of 12425 and 12433?

Answer:

Least Common Multiple of 12425 and 12433 = 154480025

Step 1: Find the prime factorization of 12425

12425 = 5 x 5 x 7 x 71

Step 2: Find the prime factorization of 12433

12433 = 12433

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

LCM = 154480025 = 5 x 5 x 7 x 71 x 12433

Step 4: Therefore, the least common multiple of 12425 and 12433 is 154480025.