Least Common Multiple of 8436 and 8437

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 8437 the smallest integer that is 71174532 that is divisible by both numbers.

Least Common Multiple (LCM) of 8436 and 8437 is 71174532.

LCM(8436,8437) = 71174532

LCM of 8436 and 8437

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

LCM of:
and

Least Common Multiple of 8436 and 8437

LCM of 8436 and 8437 is 71174532

Least common multiple can be found by multiplying the highest exponent prime factors of 8436 and 8437. First we will calculate the prime factors of 8436 and 8437.

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 8437


11 8437
13 767
59 59
1

Prime factors of 8437 are 11, 13,59. Prime factorization of 8437 in exponential form is:

8437 = 111×131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 8436 and 8437.

LCM(8436,8437) = 22×31×111×131×191×371×591
LCM(8436,8437) = 71174532

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 8437

List of positive integer factors of 8437 that divides 8437 without a remainder.

1, 11, 13, 59, 143, 649, 767, 8437

Least Common Multiple of 8436 and 8437 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 8437, than apply into the LCM equation.

GCF(8436,8437) = 1
LCM(8436,8437) = ( 8436 × 8437) / 1
LCM(8436,8437) = 71174532 / 1
LCM(8436,8437) = 71174532

Properties of LCM 8436 and 8437

(i) The LCM of 8437 and 8436 is associative

LCM of 8436 and 8437 = LCM of 8437 and 8436

Related Least Common Multiples of 8436

Related Least Common Multiples of 8437

Frequently Asked Questions on LCM of 8436 and 8437

1. What is the LCM of 8436 and 8437?

Answer: LCM of 8436 and 8437 is 71174532.

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 8437?

Answer: Factors of 8437 are 1, 11, 13, 59, 143, 649, 767, 8437. There are 8 integers that are factors of 8437. The greatest factor of 8437 is 8437.

4. How to Find the LCM of 8436 and 8437?

Answer:

Least Common Multiple of 8436 and 8437 = 71174532

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 8437

8437 = 11 x 13 x 59

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

LCM = 71174532 = 2 x 2 x 3 x 11 x 13 x 19 x 37 x 59

Step 4: Therefore, the least common multiple of 8436 and 8437 is 71174532.