Least Common Multiple of 8420 and 8425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8420 and 8425 the smallest integer that is 14187700 that is divisible by both numbers.

Least Common Multiple (LCM) of 8420 and 8425 is 14187700.

LCM(8420,8425) = 14187700

LCM of 8420 and 8425

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

LCM of:
and

Least Common Multiple of 8420 and 8425

LCM of 8420 and 8425 is 14187700

Least common multiple can be found by multiplying the highest exponent prime factors of 8420 and 8425. First we will calculate the prime factors of 8420 and 8425.

Prime Factorization of 8420


2 8420
2 4210
5 2105
421 421
1

Prime factors of 8420 are 2, 5,421. Prime factorization of 8420 in exponential form is:

8420 = 22×51×4211

Prime Factorization of 8425


5 8425
5 1685
337 337
1

Prime factors of 8425 are 5,337. Prime factorization of 8425 in exponential form is:

8425 = 52×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 8420 and 8425.

LCM(8420,8425) = 22×52×3371×4211
LCM(8420,8425) = 14187700

Factors of 8420

List of positive integer factors of 8420 that divides 8420 without a remainder.

1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420

Factors of 8425

List of positive integer factors of 8425 that divides 8425 without a remainder.

1, 5, 25, 337, 1685, 8425

Least Common Multiple of 8420 and 8425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8420 and 8425, than apply into the LCM equation.

GCF(8420,8425) = 5
LCM(8420,8425) = ( 8420 × 8425) / 5
LCM(8420,8425) = 70938500 / 5
LCM(8420,8425) = 14187700

Properties of LCM 8420 and 8425

(i) The LCM of 8425 and 8420 is associative

LCM of 8420 and 8425 = LCM of 8425 and 8420

Related Least Common Multiples of 8420

Related Least Common Multiples of 8425

Frequently Asked Questions on LCM of 8420 and 8425

1. What is the LCM of 8420 and 8425?

Answer: LCM of 8420 and 8425 is 14187700.

2. What are the Factors of 8420?

Answer: Factors of 8420 are 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420. There are 12 integers that are factors of 8420. The greatest factor of 8420 is 8420.

3. What are the Factors of 8425?

Answer: Factors of 8425 are 1, 5, 25, 337, 1685, 8425. There are 6 integers that are factors of 8425. The greatest factor of 8425 is 8425.

4. How to Find the LCM of 8420 and 8425?

Answer:

Least Common Multiple of 8420 and 8425 = 14187700

Step 1: Find the prime factorization of 8420

8420 = 2 x 2 x 5 x 421

Step 2: Find the prime factorization of 8425

8425 = 5 x 5 x 337

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

LCM = 14187700 = 2 x 2 x 5 x 5 x 337 x 421

Step 4: Therefore, the least common multiple of 8420 and 8425 is 14187700.