Least Common Multiple of 8606 and 8612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8606 and 8612 the smallest integer that is 37057436 that is divisible by both numbers.

Least Common Multiple (LCM) of 8606 and 8612 is 37057436.

LCM(8606,8612) = 37057436

LCM of 8606 and 8612

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

LCM of:
and

Least Common Multiple of 8606 and 8612

LCM of 8606 and 8612 is 37057436

Least common multiple can be found by multiplying the highest exponent prime factors of 8606 and 8612. First we will calculate the prime factors of 8606 and 8612.

Prime Factorization of 8606


2 8606
13 4303
331 331
1

Prime factors of 8606 are 2, 13,331. Prime factorization of 8606 in exponential form is:

8606 = 21×131×3311

Prime Factorization of 8612


2 8612
2 4306
2153 2153
1

Prime factors of 8612 are 2,2153. Prime factorization of 8612 in exponential form is:

8612 = 22×21531

Now multiplying the highest exponent prime factors to calculate the LCM of 8606 and 8612.

LCM(8606,8612) = 22×131×3311×21531
LCM(8606,8612) = 37057436

Factors of 8606

List of positive integer factors of 8606 that divides 8606 without a remainder.

1, 2, 13, 26, 331, 662, 4303, 8606

Factors of 8612

List of positive integer factors of 8612 that divides 8612 without a remainder.

1, 2, 4, 2153, 4306, 8612

Least Common Multiple of 8606 and 8612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8606 and 8612, than apply into the LCM equation.

GCF(8606,8612) = 2
LCM(8606,8612) = ( 8606 × 8612) / 2
LCM(8606,8612) = 74114872 / 2
LCM(8606,8612) = 37057436

Properties of LCM 8606 and 8612

(i) The LCM of 8612 and 8606 is associative

LCM of 8606 and 8612 = LCM of 8612 and 8606

Related Least Common Multiples of 8606

Related Least Common Multiples of 8612

Frequently Asked Questions on LCM of 8606 and 8612

1. What is the LCM of 8606 and 8612?

Answer: LCM of 8606 and 8612 is 37057436.

2. What are the Factors of 8606?

Answer: Factors of 8606 are 1, 2, 13, 26, 331, 662, 4303, 8606. There are 8 integers that are factors of 8606. The greatest factor of 8606 is 8606.

3. What are the Factors of 8612?

Answer: Factors of 8612 are 1, 2, 4, 2153, 4306, 8612. There are 6 integers that are factors of 8612. The greatest factor of 8612 is 8612.

4. How to Find the LCM of 8606 and 8612?

Answer:

Least Common Multiple of 8606 and 8612 = 37057436

Step 1: Find the prime factorization of 8606

8606 = 2 x 13 x 331

Step 2: Find the prime factorization of 8612

8612 = 2 x 2 x 2153

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

LCM = 37057436 = 2 x 2 x 13 x 331 x 2153

Step 4: Therefore, the least common multiple of 8606 and 8612 is 37057436.