Least Common Multiple of 8602 and 8603

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

• Least Common Multiple of 8602 and 8603 by Prime method
• Least Common Multiple of 8602 and 8603 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 8602 and 8603. First we will calculate the prime factors of 8602 and 8603.

Prime Factorization of 8602

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 8603

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 8602 and 8603.

LCM(8602,8603) = 2¹×7¹×11¹×17¹×23¹×1229¹
LCM(8602,8603) = 74003006

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 8603

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

1, 7, 1229, 8603

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8602 and 8603, than apply into the LCM equation.

GCF(8602,8603) = 1
LCM(8602,8603) = ( 8602 × 8603) / 1
LCM(8602,8603) = 74003006 / 1
LCM(8602,8603) = 74003006

(i) The LCM of 8603 and 8602 is associative

LCM of 8602 and 8603 = LCM of 8603 and 8602

1. What is the LCM of 8602 and 8603?

Answer: LCM of 8602 and 8603 is 74003006.

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 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 8602 and 8603?

Answer:

Least Common Multiple of 8602 and 8603 = 74003006

Step 1: Find the prime factorization of 8602

8602 = 2 x 11 x 17 x 23

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 = 74003006 = 2 x 7 x 11 x 17 x 23 x 1229

Step 4: Therefore, the least common multiple of 8602 and 8603 is 74003006.