Least Common Multiple of 8603 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 8603 and 8608 the smallest integer that is 74054624 that is divisible by both numbers.

Least Common Multiple (LCM) of 8603 and 8608 is 74054624.

LCM(8603,8608) = 74054624

LCM of 8603 and 8608

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

LCM of:
and

Least Common Multiple of 8603 and 8608

LCM of 8603 and 8608 is 74054624

Least common multiple can be found by multiplying the highest exponent prime factors of 8603 and 8608. First we will calculate the prime factors of 8603 and 8608.

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

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 8603 and 8608.

LCM(8603,8608) = 25×71×2691×12291
LCM(8603,8608) = 74054624

Factors of 8603

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

1, 7, 1229, 8603

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 8603 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 8603 and 8608, than apply into the LCM equation.

GCF(8603,8608) = 1
LCM(8603,8608) = ( 8603 × 8608) / 1
LCM(8603,8608) = 74054624 / 1
LCM(8603,8608) = 74054624

Properties of LCM 8603 and 8608

(i) The LCM of 8608 and 8603 is associative

LCM of 8603 and 8608 = LCM of 8608 and 8603

Related Least Common Multiples of 8603

Related Least Common Multiples of 8608

Frequently Asked Questions on LCM of 8603 and 8608

1. What is the LCM of 8603 and 8608?

Answer: LCM of 8603 and 8608 is 74054624.

2. 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.

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 8603 and 8608?

Answer:

Least Common Multiple of 8603 and 8608 = 74054624

Step 1: Find the prime factorization of 8603

8603 = 7 x 1229

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 = 74054624 = 2 x 2 x 2 x 2 x 2 x 7 x 269 x 1229

Step 4: Therefore, the least common multiple of 8603 and 8608 is 74054624.