Least Common Multiple of 9421 and 9425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9421 and 9425 the smallest integer that is 88792925 that is divisible by both numbers.

Least Common Multiple (LCM) of 9421 and 9425 is 88792925.

LCM(9421,9425) = 88792925

LCM of 9421 and 9425

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

LCM of:
and

Least Common Multiple of 9421 and 9425

LCM of 9421 and 9425 is 88792925

Least common multiple can be found by multiplying the highest exponent prime factors of 9421 and 9425. First we will calculate the prime factors of 9421 and 9425.

Prime Factorization of 9421


9421 9421
1

Prime factors of 9421 are 9421. Prime factorization of 9421 in exponential form is:

9421 = 94211

Prime Factorization of 9425


5 9425
5 1885
13 377
29 29
1

Prime factors of 9425 are 5, 13,29. Prime factorization of 9425 in exponential form is:

9425 = 52×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9421 and 9425.

LCM(9421,9425) = 52×131×291×94211
LCM(9421,9425) = 88792925

Factors of 9421

List of positive integer factors of 9421 that divides 9421 without a remainder.

1, 9421

Factors of 9425

List of positive integer factors of 9425 that divides 9425 without a remainder.

1, 5, 13, 25, 29, 65, 145, 325, 377, 725, 1885, 9425

Least Common Multiple of 9421 and 9425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9421 and 9425, than apply into the LCM equation.

GCF(9421,9425) = 1
LCM(9421,9425) = ( 9421 × 9425) / 1
LCM(9421,9425) = 88792925 / 1
LCM(9421,9425) = 88792925

Properties of LCM 9421 and 9425

(i) The LCM of 9425 and 9421 is associative

LCM of 9421 and 9425 = LCM of 9425 and 9421

Related Least Common Multiples of 9421

Related Least Common Multiples of 9425

Frequently Asked Questions on LCM of 9421 and 9425

1. What is the LCM of 9421 and 9425?

Answer: LCM of 9421 and 9425 is 88792925.

2. What are the Factors of 9421?

Answer: Factors of 9421 are 1, 9421. There are 2 integers that are factors of 9421. The greatest factor of 9421 is 9421.

3. What are the Factors of 9425?

Answer: Factors of 9425 are 1, 5, 13, 25, 29, 65, 145, 325, 377, 725, 1885, 9425. There are 12 integers that are factors of 9425. The greatest factor of 9425 is 9425.

4. How to Find the LCM of 9421 and 9425?

Answer:

Least Common Multiple of 9421 and 9425 = 88792925

Step 1: Find the prime factorization of 9421

9421 = 9421

Step 2: Find the prime factorization of 9425

9425 = 5 x 5 x 13 x 29

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

LCM = 88792925 = 5 x 5 x 13 x 29 x 9421

Step 4: Therefore, the least common multiple of 9421 and 9425 is 88792925.