Least Common Multiple of 8608 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 8608 and 8612 the smallest integer that is 18533024 that is divisible by both numbers.

Least Common Multiple (LCM) of 8608 and 8612 is 18533024.

LCM(8608,8612) = 18533024

LCM of 8608 and 8612

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

LCM of:
and

Least Common Multiple of 8608 and 8612

LCM of 8608 and 8612 is 18533024

Least common multiple can be found by multiplying the highest exponent prime factors of 8608 and 8612. First we will calculate the prime factors of 8608 and 8612.

Prime Factorization of 8608


2 8608
2 4304
2 2152
2 1076
2 538
269 269
1

Prime factors of 8608 are 2,269. Prime factorization of 8608 in exponential form is:

8608 = 25×2691

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 8608 and 8612.

LCM(8608,8612) = 25×2691×21531
LCM(8608,8612) = 18533024

Factors of 8608

List of positive integer factors of 8608 that divides 8608 without a remainder.

1, 2, 4, 8, 16, 32, 269, 538, 1076, 2152, 4304, 8608

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 8608 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 8608 and 8612, than apply into the LCM equation.

GCF(8608,8612) = 4
LCM(8608,8612) = ( 8608 × 8612) / 4
LCM(8608,8612) = 74132096 / 4
LCM(8608,8612) = 18533024

Properties of LCM 8608 and 8612

(i) The LCM of 8612 and 8608 is associative

LCM of 8608 and 8612 = LCM of 8612 and 8608

Related Least Common Multiples of 8608

Related Least Common Multiples of 8612

Frequently Asked Questions on LCM of 8608 and 8612

1. What is the LCM of 8608 and 8612?

Answer: LCM of 8608 and 8612 is 18533024.

2. What are the Factors of 8608?

Answer: Factors of 8608 are 1, 2, 4, 8, 16, 32, 269, 538, 1076, 2152, 4304, 8608. There are 12 integers that are factors of 8608. The greatest factor of 8608 is 8608.

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 8608 and 8612?

Answer:

Least Common Multiple of 8608 and 8612 = 18533024

Step 1: Find the prime factorization of 8608

8608 = 2 x 2 x 2 x 2 x 2 x 269

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 = 18533024 = 2 x 2 x 2 x 2 x 2 x 269 x 2153

Step 4: Therefore, the least common multiple of 8608 and 8612 is 18533024.