Least Common Multiple of 8600 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 8600 and 8603 the smallest integer that is 73985800 that is divisible by both numbers.

Least Common Multiple (LCM) of 8600 and 8603 is 73985800.

LCM(8600,8603) = 73985800

LCM of 8600 and 8603

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

LCM of:
and

Least Common Multiple of 8600 and 8603

LCM of 8600 and 8603 is 73985800

Least common multiple can be found by multiplying the highest exponent prime factors of 8600 and 8603. First we will calculate the prime factors of 8600 and 8603.

Prime Factorization of 8600


2 8600
2 4300
2 2150
5 1075
5 215
43 43
1

Prime factors of 8600 are 2, 5,43. Prime factorization of 8600 in exponential form is:

8600 = 23×52×431

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 8600 and 8603.

LCM(8600,8603) = 23×52×71×431×12291
LCM(8600,8603) = 73985800

Factors of 8600

List of positive integer factors of 8600 that divides 8600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600

Factors of 8603

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

1, 7, 1229, 8603

Least Common Multiple of 8600 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 8600 and 8603, than apply into the LCM equation.

GCF(8600,8603) = 1
LCM(8600,8603) = ( 8600 × 8603) / 1
LCM(8600,8603) = 73985800 / 1
LCM(8600,8603) = 73985800

Properties of LCM 8600 and 8603

(i) The LCM of 8603 and 8600 is associative

LCM of 8600 and 8603 = LCM of 8603 and 8600

Related Least Common Multiples of 8600

Related Least Common Multiples of 8603

Frequently Asked Questions on LCM of 8600 and 8603

1. What is the LCM of 8600 and 8603?

Answer: LCM of 8600 and 8603 is 73985800.

2. What are the Factors of 8600?

Answer: Factors of 8600 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600. There are 24 integers that are factors of 8600. The greatest factor of 8600 is 8600.

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 8600 and 8603?

Answer:

Least Common Multiple of 8600 and 8603 = 73985800

Step 1: Find the prime factorization of 8600

8600 = 2 x 2 x 2 x 5 x 5 x 43

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 = 73985800 = 2 x 2 x 2 x 5 x 5 x 7 x 43 x 1229

Step 4: Therefore, the least common multiple of 8600 and 8603 is 73985800.