Least Common Multiple of 8596 and 8603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8596 and 8603 the smallest integer that is 10564484 that is divisible by both numbers.

Least Common Multiple (LCM) of 8596 and 8603 is 10564484.

LCM(8596,8603) = 10564484

LCM of 8596 and 8603

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

LCM of:
and

Least Common Multiple of 8596 and 8603

LCM of 8596 and 8603 is 10564484

Least common multiple can be found by multiplying the highest exponent prime factors of 8596 and 8603. First we will calculate the prime factors of 8596 and 8603.

Prime Factorization of 8596


2 8596
2 4298
7 2149
307 307
1

Prime factors of 8596 are 2, 7,307. Prime factorization of 8596 in exponential form is:

8596 = 22×71×3071

Prime Factorization of 8603


7 8603
1229 1229
1

Prime factors of 8603 are 7,1229. Prime factorization of 8603 in exponential form is:

8603 = 71×12291

Now multiplying the highest exponent prime factors to calculate the LCM of 8596 and 8603.

LCM(8596,8603) = 22×71×3071×12291
LCM(8596,8603) = 10564484

Factors of 8596

List of positive integer factors of 8596 that divides 8596 without a remainder.

1, 2, 4, 7, 14, 28, 307, 614, 1228, 2149, 4298, 8596

Factors of 8603

List of positive integer factors of 8603 that divides 8603 without a remainder.

1, 7, 1229, 8603

Least Common Multiple of 8596 and 8603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8596 and 8603, than apply into the LCM equation.

GCF(8596,8603) = 7
LCM(8596,8603) = ( 8596 × 8603) / 7
LCM(8596,8603) = 73951388 / 7
LCM(8596,8603) = 10564484

Properties of LCM 8596 and 8603

(i) The LCM of 8603 and 8596 is associative

LCM of 8596 and 8603 = LCM of 8603 and 8596

Related Least Common Multiples of 8596

Related Least Common Multiples of 8603

Frequently Asked Questions on LCM of 8596 and 8603

1. What is the LCM of 8596 and 8603?

Answer: LCM of 8596 and 8603 is 10564484.

2. What are the Factors of 8596?

Answer: Factors of 8596 are 1, 2, 4, 7, 14, 28, 307, 614, 1228, 2149, 4298, 8596. There are 12 integers that are factors of 8596. The greatest factor of 8596 is 8596.

3. What are the Factors of 8603?

Answer: Factors of 8603 are 1, 7, 1229, 8603. There are 4 integers that are factors of 8603. The greatest factor of 8603 is 8603.

4. How to Find the LCM of 8596 and 8603?

Answer:

Least Common Multiple of 8596 and 8603 = 10564484

Step 1: Find the prime factorization of 8596

8596 = 2 x 2 x 7 x 307

Step 2: Find the prime factorization of 8603

8603 = 7 x 1229

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

LCM = 10564484 = 2 x 2 x 7 x 307 x 1229

Step 4: Therefore, the least common multiple of 8596 and 8603 is 10564484.