Least Common Multiple of 8598 and 8602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8598 and 8602 the smallest integer that is 36979998 that is divisible by both numbers.

Least Common Multiple (LCM) of 8598 and 8602 is 36979998.

LCM(8598,8602) = 36979998

LCM of 8598 and 8602

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

LCM of:
and

Least Common Multiple of 8598 and 8602

LCM of 8598 and 8602 is 36979998

Least common multiple can be found by multiplying the highest exponent prime factors of 8598 and 8602. First we will calculate the prime factors of 8598 and 8602.

Prime Factorization of 8598


2 8598
3 4299
1433 1433
1

Prime factors of 8598 are 2, 3,1433. Prime factorization of 8598 in exponential form is:

8598 = 21×31×14331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8598 and 8602.

LCM(8598,8602) = 21×31×111×171×231×14331
LCM(8598,8602) = 36979998

Factors of 8598

List of positive integer factors of 8598 that divides 8598 without a remainder.

1, 2, 3, 6, 1433, 2866, 4299, 8598

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

Least Common Multiple of 8598 and 8602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8598 and 8602, than apply into the LCM equation.

GCF(8598,8602) = 2
LCM(8598,8602) = ( 8598 × 8602) / 2
LCM(8598,8602) = 73959996 / 2
LCM(8598,8602) = 36979998

Properties of LCM 8598 and 8602

(i) The LCM of 8602 and 8598 is associative

LCM of 8598 and 8602 = LCM of 8602 and 8598

Related Least Common Multiples of 8598

Related Least Common Multiples of 8602

Frequently Asked Questions on LCM of 8598 and 8602

1. What is the LCM of 8598 and 8602?

Answer: LCM of 8598 and 8602 is 36979998.

2. What are the Factors of 8598?

Answer: Factors of 8598 are 1, 2, 3, 6, 1433, 2866, 4299, 8598. There are 8 integers that are factors of 8598. The greatest factor of 8598 is 8598.

3. 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.

4. How to Find the LCM of 8598 and 8602?

Answer:

Least Common Multiple of 8598 and 8602 = 36979998

Step 1: Find the prime factorization of 8598

8598 = 2 x 3 x 1433

Step 2: Find the prime factorization of 8602

8602 = 2 x 11 x 17 x 23

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

LCM = 36979998 = 2 x 3 x 11 x 17 x 23 x 1433

Step 4: Therefore, the least common multiple of 8598 and 8602 is 36979998.