Least Common Multiple of 8436 and 8442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8436 and 8442 the smallest integer that is 11869452 that is divisible by both numbers.

Least Common Multiple (LCM) of 8436 and 8442 is 11869452.

LCM(8436,8442) = 11869452

LCM of 8436 and 8442

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

LCM of:
and

Least Common Multiple of 8436 and 8442

LCM of 8436 and 8442 is 11869452

Least common multiple can be found by multiplying the highest exponent prime factors of 8436 and 8442. First we will calculate the prime factors of 8436 and 8442.

Prime Factorization of 8436


2 8436
2 4218
3 2109
19 703
37 37
1

Prime factors of 8436 are 2, 3, 19,37. Prime factorization of 8436 in exponential form is:

8436 = 22×31×191×371

Prime Factorization of 8442


2 8442
3 4221
3 1407
7 469
67 67
1

Prime factors of 8442 are 2, 3, 7,67. Prime factorization of 8442 in exponential form is:

8442 = 21×32×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 8436 and 8442.

LCM(8436,8442) = 22×32×71×191×371×671
LCM(8436,8442) = 11869452

Factors of 8436

List of positive integer factors of 8436 that divides 8436 without a remainder.

1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436

Factors of 8442

List of positive integer factors of 8442 that divides 8442 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442

Least Common Multiple of 8436 and 8442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8436 and 8442, than apply into the LCM equation.

GCF(8436,8442) = 6
LCM(8436,8442) = ( 8436 × 8442) / 6
LCM(8436,8442) = 71216712 / 6
LCM(8436,8442) = 11869452

Properties of LCM 8436 and 8442

(i) The LCM of 8442 and 8436 is associative

LCM of 8436 and 8442 = LCM of 8442 and 8436

Related Least Common Multiples of 8436

Related Least Common Multiples of 8442

Frequently Asked Questions on LCM of 8436 and 8442

1. What is the LCM of 8436 and 8442?

Answer: LCM of 8436 and 8442 is 11869452.

2. What are the Factors of 8436?

Answer: Factors of 8436 are 1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436. There are 24 integers that are factors of 8436. The greatest factor of 8436 is 8436.

3. What are the Factors of 8442?

Answer: Factors of 8442 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442. There are 24 integers that are factors of 8442. The greatest factor of 8442 is 8442.

4. How to Find the LCM of 8436 and 8442?

Answer:

Least Common Multiple of 8436 and 8442 = 11869452

Step 1: Find the prime factorization of 8436

8436 = 2 x 2 x 3 x 19 x 37

Step 2: Find the prime factorization of 8442

8442 = 2 x 3 x 3 x 7 x 67

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

LCM = 11869452 = 2 x 2 x 3 x 3 x 7 x 19 x 37 x 67

Step 4: Therefore, the least common multiple of 8436 and 8442 is 11869452.