Least Common Multiple of 9420 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 9420 and 9425 the smallest integer that is 17756700 that is divisible by both numbers.

Least Common Multiple (LCM) of 9420 and 9425 is 17756700.

LCM(9420,9425) = 17756700

LCM of 9420 and 9425

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

LCM of:
and

Least Common Multiple of 9420 and 9425

LCM of 9420 and 9425 is 17756700

Least common multiple can be found by multiplying the highest exponent prime factors of 9420 and 9425. First we will calculate the prime factors of 9420 and 9425.

Prime Factorization of 9420


2 9420
2 4710
3 2355
5 785
157 157
1

Prime factors of 9420 are 2, 3, 5,157. Prime factorization of 9420 in exponential form is:

9420 = 22×31×51×1571

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 9420 and 9425.

LCM(9420,9425) = 22×31×52×131×291×1571
LCM(9420,9425) = 17756700

Factors of 9420

List of positive integer factors of 9420 that divides 9420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420

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 9420 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 9420 and 9425, than apply into the LCM equation.

GCF(9420,9425) = 5
LCM(9420,9425) = ( 9420 × 9425) / 5
LCM(9420,9425) = 88783500 / 5
LCM(9420,9425) = 17756700

Properties of LCM 9420 and 9425

(i) The LCM of 9425 and 9420 is associative

LCM of 9420 and 9425 = LCM of 9425 and 9420

Related Least Common Multiples of 9420

Related Least Common Multiples of 9425

Frequently Asked Questions on LCM of 9420 and 9425

1. What is the LCM of 9420 and 9425?

Answer: LCM of 9420 and 9425 is 17756700.

2. What are the Factors of 9420?

Answer: Factors of 9420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420. There are 24 integers that are factors of 9420. The greatest factor of 9420 is 9420.

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 9420 and 9425?

Answer:

Least Common Multiple of 9420 and 9425 = 17756700

Step 1: Find the prime factorization of 9420

9420 = 2 x 2 x 3 x 5 x 157

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 = 17756700 = 2 x 2 x 3 x 5 x 5 x 13 x 29 x 157

Step 4: Therefore, the least common multiple of 9420 and 9425 is 17756700.