Least Common Multiple of 8602 and 8608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8602 and 8608 the smallest integer that is 37023008 that is divisible by both numbers.

Least Common Multiple (LCM) of 8602 and 8608 is 37023008.

LCM(8602,8608) = 37023008

LCM of 8602 and 8608

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

LCM of:
and

Least Common Multiple of 8602 and 8608

LCM of 8602 and 8608 is 37023008

Least common multiple can be found by multiplying the highest exponent prime factors of 8602 and 8608. First we will calculate the prime factors of 8602 and 8608.

Prime Factorization of 8602


2 8602
11 4301
17 391
23 23
1

Prime factors of 8602 are 2, 11, 17,23. Prime factorization of 8602 in exponential form is:

8602 = 21×111×171×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8602 and 8608.

LCM(8602,8608) = 25×111×171×231×2691
LCM(8602,8608) = 37023008

Factors of 8602

List of positive integer factors of 8602 that divides 8602 without a remainder.

1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602

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

Least Common Multiple of 8602 and 8608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8602 and 8608, than apply into the LCM equation.

GCF(8602,8608) = 2
LCM(8602,8608) = ( 8602 × 8608) / 2
LCM(8602,8608) = 74046016 / 2
LCM(8602,8608) = 37023008

Properties of LCM 8602 and 8608

(i) The LCM of 8608 and 8602 is associative

LCM of 8602 and 8608 = LCM of 8608 and 8602

Related Least Common Multiples of 8602

Related Least Common Multiples of 8608

Frequently Asked Questions on LCM of 8602 and 8608

1. What is the LCM of 8602 and 8608?

Answer: LCM of 8602 and 8608 is 37023008.

2. What are the Factors of 8602?

Answer: Factors of 8602 are 1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602. There are 16 integers that are factors of 8602. The greatest factor of 8602 is 8602.

3. 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.

4. How to Find the LCM of 8602 and 8608?

Answer:

Least Common Multiple of 8602 and 8608 = 37023008

Step 1: Find the prime factorization of 8602

8602 = 2 x 11 x 17 x 23

Step 2: Find the prime factorization of 8608

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

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

LCM = 37023008 = 2 x 2 x 2 x 2 x 2 x 11 x 17 x 23 x 269

Step 4: Therefore, the least common multiple of 8602 and 8608 is 37023008.