Least Common Multiple of 8412 and 8418

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 8418 the smallest integer that is 11802036 that is divisible by both numbers.

Least Common Multiple (LCM) of 8412 and 8418 is 11802036.

LCM(8412,8418) = 11802036

LCM of 8412 and 8418

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

LCM of:
and

Least Common Multiple of 8412 and 8418

LCM of 8412 and 8418 is 11802036

Least common multiple can be found by multiplying the highest exponent prime factors of 8412 and 8418. First we will calculate the prime factors of 8412 and 8418.

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 8418


2 8418
3 4209
23 1403
61 61
1

Prime factors of 8418 are 2, 3, 23,61. Prime factorization of 8418 in exponential form is:

8418 = 21×31×231×611

Now multiplying the highest exponent prime factors to calculate the LCM of 8412 and 8418.

LCM(8412,8418) = 22×31×231×611×7011
LCM(8412,8418) = 11802036

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 8418

List of positive integer factors of 8418 that divides 8418 without a remainder.

1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418

Least Common Multiple of 8412 and 8418 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 8418, than apply into the LCM equation.

GCF(8412,8418) = 6
LCM(8412,8418) = ( 8412 × 8418) / 6
LCM(8412,8418) = 70812216 / 6
LCM(8412,8418) = 11802036

Properties of LCM 8412 and 8418

(i) The LCM of 8418 and 8412 is associative

LCM of 8412 and 8418 = LCM of 8418 and 8412

Related Least Common Multiples of 8412

Related Least Common Multiples of 8418

Frequently Asked Questions on LCM of 8412 and 8418

1. What is the LCM of 8412 and 8418?

Answer: LCM of 8412 and 8418 is 11802036.

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 8418?

Answer: Factors of 8418 are 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418. There are 16 integers that are factors of 8418. The greatest factor of 8418 is 8418.

4. How to Find the LCM of 8412 and 8418?

Answer:

Least Common Multiple of 8412 and 8418 = 11802036

Step 1: Find the prime factorization of 8412

8412 = 2 x 2 x 3 x 701

Step 2: Find the prime factorization of 8418

8418 = 2 x 3 x 23 x 61

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

LCM = 11802036 = 2 x 2 x 3 x 23 x 61 x 701

Step 4: Therefore, the least common multiple of 8412 and 8418 is 11802036.