Least Common Multiple of 8605 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 8605 and 8612 the smallest integer that is 74106260 that is divisible by both numbers.

Least Common Multiple (LCM) of 8605 and 8612 is 74106260.

LCM(8605,8612) = 74106260

LCM of 8605 and 8612

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

LCM of:
and

Least Common Multiple of 8605 and 8612

LCM of 8605 and 8612 is 74106260

Least common multiple can be found by multiplying the highest exponent prime factors of 8605 and 8612. First we will calculate the prime factors of 8605 and 8612.

Prime Factorization of 8605


5 8605
1721 1721
1

Prime factors of 8605 are 5,1721. Prime factorization of 8605 in exponential form is:

8605 = 51×17211

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 8605 and 8612.

LCM(8605,8612) = 22×51×17211×21531
LCM(8605,8612) = 74106260

Factors of 8605

List of positive integer factors of 8605 that divides 8605 without a remainder.

1, 5, 1721, 8605

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 8605 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 8605 and 8612, than apply into the LCM equation.

GCF(8605,8612) = 1
LCM(8605,8612) = ( 8605 × 8612) / 1
LCM(8605,8612) = 74106260 / 1
LCM(8605,8612) = 74106260

Properties of LCM 8605 and 8612

(i) The LCM of 8612 and 8605 is associative

LCM of 8605 and 8612 = LCM of 8612 and 8605

Related Least Common Multiples of 8605

Related Least Common Multiples of 8612

Frequently Asked Questions on LCM of 8605 and 8612

1. What is the LCM of 8605 and 8612?

Answer: LCM of 8605 and 8612 is 74106260.

2. What are the Factors of 8605?

Answer: Factors of 8605 are 1, 5, 1721, 8605. There are 4 integers that are factors of 8605. The greatest factor of 8605 is 8605.

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 8605 and 8612?

Answer:

Least Common Multiple of 8605 and 8612 = 74106260

Step 1: Find the prime factorization of 8605

8605 = 5 x 1721

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 = 74106260 = 2 x 2 x 5 x 1721 x 2153

Step 4: Therefore, the least common multiple of 8605 and 8612 is 74106260.