Least Common Multiple of 8412 and 8420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8412 and 8420 the smallest integer that is 17707260 that is divisible by both numbers.

Least Common Multiple (LCM) of 8412 and 8420 is 17707260.

LCM(8412,8420) = 17707260

LCM of 8412 and 8420

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

LCM of:
and

Least Common Multiple of 8412 and 8420

LCM of 8412 and 8420 is 17707260

Least common multiple can be found by multiplying the highest exponent prime factors of 8412 and 8420. First we will calculate the prime factors of 8412 and 8420.

Prime Factorization of 8412


2 8412
2 4206
3 2103
701 701
1

Prime factors of 8412 are 2, 3,701. Prime factorization of 8412 in exponential form is:

8412 = 22×31×7011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8412 and 8420.

LCM(8412,8420) = 22×31×51×4211×7011
LCM(8412,8420) = 17707260

Factors of 8412

List of positive integer factors of 8412 that divides 8412 without a remainder.

1, 2, 3, 4, 6, 12, 701, 1402, 2103, 2804, 4206, 8412

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

Least Common Multiple of 8412 and 8420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8412 and 8420, than apply into the LCM equation.

GCF(8412,8420) = 4
LCM(8412,8420) = ( 8412 × 8420) / 4
LCM(8412,8420) = 70829040 / 4
LCM(8412,8420) = 17707260

Properties of LCM 8412 and 8420

(i) The LCM of 8420 and 8412 is associative

LCM of 8412 and 8420 = LCM of 8420 and 8412

Related Least Common Multiples of 8412

Related Least Common Multiples of 8420

Frequently Asked Questions on LCM of 8412 and 8420

1. What is the LCM of 8412 and 8420?

Answer: LCM of 8412 and 8420 is 17707260.

2. What are the Factors of 8412?

Answer: Factors of 8412 are 1, 2, 3, 4, 6, 12, 701, 1402, 2103, 2804, 4206, 8412. There are 12 integers that are factors of 8412. The greatest factor of 8412 is 8412.

3. 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.

4. How to Find the LCM of 8412 and 8420?

Answer:

Least Common Multiple of 8412 and 8420 = 17707260

Step 1: Find the prime factorization of 8412

8412 = 2 x 2 x 3 x 701

Step 2: Find the prime factorization of 8420

8420 = 2 x 2 x 5 x 421

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

LCM = 17707260 = 2 x 2 x 3 x 5 x 421 x 701

Step 4: Therefore, the least common multiple of 8412 and 8420 is 17707260.