Least Common Multiple of 8602 and 8609

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 8609 the smallest integer that is 74054618 that is divisible by both numbers.

Least Common Multiple (LCM) of 8602 and 8609 is 74054618.

LCM(8602,8609) = 74054618

LCM of 8602 and 8609

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

LCM of:
and

Least Common Multiple of 8602 and 8609

LCM of 8602 and 8609 is 74054618

Least common multiple can be found by multiplying the highest exponent prime factors of 8602 and 8609. First we will calculate the prime factors of 8602 and 8609.

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 8609


8609 8609
1

Prime factors of 8609 are 8609. Prime factorization of 8609 in exponential form is:

8609 = 86091

Now multiplying the highest exponent prime factors to calculate the LCM of 8602 and 8609.

LCM(8602,8609) = 21×111×171×231×86091
LCM(8602,8609) = 74054618

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 8609

List of positive integer factors of 8609 that divides 8609 without a remainder.

1, 8609

Least Common Multiple of 8602 and 8609 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 8609, than apply into the LCM equation.

GCF(8602,8609) = 1
LCM(8602,8609) = ( 8602 × 8609) / 1
LCM(8602,8609) = 74054618 / 1
LCM(8602,8609) = 74054618

Properties of LCM 8602 and 8609

(i) The LCM of 8609 and 8602 is associative

LCM of 8602 and 8609 = LCM of 8609 and 8602

Related Least Common Multiples of 8602

Related Least Common Multiples of 8609

Frequently Asked Questions on LCM of 8602 and 8609

1. What is the LCM of 8602 and 8609?

Answer: LCM of 8602 and 8609 is 74054618.

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 8609?

Answer: Factors of 8609 are 1, 8609. There are 2 integers that are factors of 8609. The greatest factor of 8609 is 8609.

4. How to Find the LCM of 8602 and 8609?

Answer:

Least Common Multiple of 8602 and 8609 = 74054618

Step 1: Find the prime factorization of 8602

8602 = 2 x 11 x 17 x 23

Step 2: Find the prime factorization of 8609

8609 = 8609

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

LCM = 74054618 = 2 x 11 x 17 x 23 x 8609

Step 4: Therefore, the least common multiple of 8602 and 8609 is 74054618.