Least Common Multiple of 8601 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 8601 and 8608 the smallest integer that is 74037408 that is divisible by both numbers.

Least Common Multiple (LCM) of 8601 and 8608 is 74037408.

LCM(8601,8608) = 74037408

LCM of 8601 and 8608

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

LCM of:
and

Least Common Multiple of 8601 and 8608

LCM of 8601 and 8608 is 74037408

Least common multiple can be found by multiplying the highest exponent prime factors of 8601 and 8608. First we will calculate the prime factors of 8601 and 8608.

Prime Factorization of 8601


3 8601
47 2867
61 61
1

Prime factors of 8601 are 3, 47,61. Prime factorization of 8601 in exponential form is:

8601 = 31×471×611

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 8601 and 8608.

LCM(8601,8608) = 25×31×471×611×2691
LCM(8601,8608) = 74037408

Factors of 8601

List of positive integer factors of 8601 that divides 8601 without a remainder.

1, 3, 47, 61, 141, 183, 2867, 8601

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 8601 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 8601 and 8608, than apply into the LCM equation.

GCF(8601,8608) = 1
LCM(8601,8608) = ( 8601 × 8608) / 1
LCM(8601,8608) = 74037408 / 1
LCM(8601,8608) = 74037408

Properties of LCM 8601 and 8608

(i) The LCM of 8608 and 8601 is associative

LCM of 8601 and 8608 = LCM of 8608 and 8601

Related Least Common Multiples of 8601

Related Least Common Multiples of 8608

Frequently Asked Questions on LCM of 8601 and 8608

1. What is the LCM of 8601 and 8608?

Answer: LCM of 8601 and 8608 is 74037408.

2. What are the Factors of 8601?

Answer: Factors of 8601 are 1, 3, 47, 61, 141, 183, 2867, 8601. There are 8 integers that are factors of 8601. The greatest factor of 8601 is 8601.

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 8601 and 8608?

Answer:

Least Common Multiple of 8601 and 8608 = 74037408

Step 1: Find the prime factorization of 8601

8601 = 3 x 47 x 61

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 = 74037408 = 2 x 2 x 2 x 2 x 2 x 3 x 47 x 61 x 269

Step 4: Therefore, the least common multiple of 8601 and 8608 is 74037408.