Least Common Multiple of 8412 and 8419

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 8419 the smallest integer that is 70820628 that is divisible by both numbers.

Least Common Multiple (LCM) of 8412 and 8419 is 70820628.

LCM(8412,8419) = 70820628

LCM of 8412 and 8419

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

LCM of:
and

Least Common Multiple of 8412 and 8419

LCM of 8412 and 8419 is 70820628

Least common multiple can be found by multiplying the highest exponent prime factors of 8412 and 8419. First we will calculate the prime factors of 8412 and 8419.

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 8419


8419 8419
1

Prime factors of 8419 are 8419. Prime factorization of 8419 in exponential form is:

8419 = 84191

Now multiplying the highest exponent prime factors to calculate the LCM of 8412 and 8419.

LCM(8412,8419) = 22×31×7011×84191
LCM(8412,8419) = 70820628

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 8419

List of positive integer factors of 8419 that divides 8419 without a remainder.

1, 8419

Least Common Multiple of 8412 and 8419 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 8419, than apply into the LCM equation.

GCF(8412,8419) = 1
LCM(8412,8419) = ( 8412 × 8419) / 1
LCM(8412,8419) = 70820628 / 1
LCM(8412,8419) = 70820628

Properties of LCM 8412 and 8419

(i) The LCM of 8419 and 8412 is associative

LCM of 8412 and 8419 = LCM of 8419 and 8412

Related Least Common Multiples of 8412

Related Least Common Multiples of 8419

Frequently Asked Questions on LCM of 8412 and 8419

1. What is the LCM of 8412 and 8419?

Answer: LCM of 8412 and 8419 is 70820628.

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 8419?

Answer: Factors of 8419 are 1, 8419. There are 2 integers that are factors of 8419. The greatest factor of 8419 is 8419.

4. How to Find the LCM of 8412 and 8419?

Answer:

Least Common Multiple of 8412 and 8419 = 70820628

Step 1: Find the prime factorization of 8412

8412 = 2 x 2 x 3 x 701

Step 2: Find the prime factorization of 8419

8419 = 8419

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

LCM = 70820628 = 2 x 2 x 3 x 701 x 8419

Step 4: Therefore, the least common multiple of 8412 and 8419 is 70820628.