Least Common Multiple of 8420 and 8427

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 8427 the smallest integer that is 70955340 that is divisible by both numbers.

Least Common Multiple (LCM) of 8420 and 8427 is 70955340.

LCM(8420,8427) = 70955340

LCM of 8420 and 8427

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

LCM of:
and

Least Common Multiple of 8420 and 8427

LCM of 8420 and 8427 is 70955340

Least common multiple can be found by multiplying the highest exponent prime factors of 8420 and 8427. First we will calculate the prime factors of 8420 and 8427.

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 8427


3 8427
53 2809
53 53
1

Prime factors of 8427 are 3,53. Prime factorization of 8427 in exponential form is:

8427 = 31×532

Now multiplying the highest exponent prime factors to calculate the LCM of 8420 and 8427.

LCM(8420,8427) = 22×31×51×532×4211
LCM(8420,8427) = 70955340

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 8427

List of positive integer factors of 8427 that divides 8427 without a remainder.

1, 3, 53, 159, 2809, 8427

Least Common Multiple of 8420 and 8427 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 8427, than apply into the LCM equation.

GCF(8420,8427) = 1
LCM(8420,8427) = ( 8420 × 8427) / 1
LCM(8420,8427) = 70955340 / 1
LCM(8420,8427) = 70955340

Properties of LCM 8420 and 8427

(i) The LCM of 8427 and 8420 is associative

LCM of 8420 and 8427 = LCM of 8427 and 8420

Related Least Common Multiples of 8420

Related Least Common Multiples of 8427

Frequently Asked Questions on LCM of 8420 and 8427

1. What is the LCM of 8420 and 8427?

Answer: LCM of 8420 and 8427 is 70955340.

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 8427?

Answer: Factors of 8427 are 1, 3, 53, 159, 2809, 8427. There are 6 integers that are factors of 8427. The greatest factor of 8427 is 8427.

4. How to Find the LCM of 8420 and 8427?

Answer:

Least Common Multiple of 8420 and 8427 = 70955340

Step 1: Find the prime factorization of 8420

8420 = 2 x 2 x 5 x 421

Step 2: Find the prime factorization of 8427

8427 = 3 x 53 x 53

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

LCM = 70955340 = 2 x 2 x 3 x 5 x 53 x 53 x 421

Step 4: Therefore, the least common multiple of 8420 and 8427 is 70955340.