Least Common Multiple of 12421 and 12425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12421 and 12425 the smallest integer that is 154330925 that is divisible by both numbers.

Least Common Multiple (LCM) of 12421 and 12425 is 154330925.

LCM(12421,12425) = 154330925

LCM of 12421 and 12425

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

LCM of:
and

Least Common Multiple of 12421 and 12425

LCM of 12421 and 12425 is 154330925

Least common multiple can be found by multiplying the highest exponent prime factors of 12421 and 12425. First we will calculate the prime factors of 12421 and 12425.

Prime Factorization of 12421


12421 12421
1

Prime factors of 12421 are 12421. Prime factorization of 12421 in exponential form is:

12421 = 124211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 12421 and 12425.

LCM(12421,12425) = 52×71×711×124211
LCM(12421,12425) = 154330925

Factors of 12421

List of positive integer factors of 12421 that divides 12421 without a remainder.

1, 12421

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

Least Common Multiple of 12421 and 12425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12421 and 12425, than apply into the LCM equation.

GCF(12421,12425) = 1
LCM(12421,12425) = ( 12421 × 12425) / 1
LCM(12421,12425) = 154330925 / 1
LCM(12421,12425) = 154330925

Properties of LCM 12421 and 12425

(i) The LCM of 12425 and 12421 is associative

LCM of 12421 and 12425 = LCM of 12425 and 12421

Related Least Common Multiples of 12421

Related Least Common Multiples of 12425

Frequently Asked Questions on LCM of 12421 and 12425

1. What is the LCM of 12421 and 12425?

Answer: LCM of 12421 and 12425 is 154330925.

2. What are the Factors of 12421?

Answer: Factors of 12421 are 1, 12421. There are 2 integers that are factors of 12421. The greatest factor of 12421 is 12421.

3. 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.

4. How to Find the LCM of 12421 and 12425?

Answer:

Least Common Multiple of 12421 and 12425 = 154330925

Step 1: Find the prime factorization of 12421

12421 = 12421

Step 2: Find the prime factorization of 12425

12425 = 5 x 5 x 7 x 71

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

LCM = 154330925 = 5 x 5 x 7 x 71 x 12421

Step 4: Therefore, the least common multiple of 12421 and 12425 is 154330925.