Least Common Multiple of 8599 and 8601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8599 and 8601 the smallest integer that is 73959999 that is divisible by both numbers.

Least Common Multiple (LCM) of 8599 and 8601 is 73959999.

LCM(8599,8601) = 73959999

LCM of 8599 and 8601

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

LCM of:
and

Least Common Multiple of 8599 and 8601

LCM of 8599 and 8601 is 73959999

Least common multiple can be found by multiplying the highest exponent prime factors of 8599 and 8601. First we will calculate the prime factors of 8599 and 8601.

Prime Factorization of 8599


8599 8599
1

Prime factors of 8599 are 8599. Prime factorization of 8599 in exponential form is:

8599 = 85991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8599 and 8601.

LCM(8599,8601) = 31×471×611×85991
LCM(8599,8601) = 73959999

Factors of 8599

List of positive integer factors of 8599 that divides 8599 without a remainder.

1, 8599

Factors of 8601

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

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

Least Common Multiple of 8599 and 8601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8599 and 8601, than apply into the LCM equation.

GCF(8599,8601) = 1
LCM(8599,8601) = ( 8599 × 8601) / 1
LCM(8599,8601) = 73959999 / 1
LCM(8599,8601) = 73959999

Properties of LCM 8599 and 8601

(i) The LCM of 8601 and 8599 is associative

LCM of 8599 and 8601 = LCM of 8601 and 8599

Related Least Common Multiples of 8599

Related Least Common Multiples of 8601

Frequently Asked Questions on LCM of 8599 and 8601

1. What is the LCM of 8599 and 8601?

Answer: LCM of 8599 and 8601 is 73959999.

2. What are the Factors of 8599?

Answer: Factors of 8599 are 1, 8599. There are 2 integers that are factors of 8599. The greatest factor of 8599 is 8599.

3. 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.

4. How to Find the LCM of 8599 and 8601?

Answer:

Least Common Multiple of 8599 and 8601 = 73959999

Step 1: Find the prime factorization of 8599

8599 = 8599

Step 2: Find the prime factorization of 8601

8601 = 3 x 47 x 61

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

LCM = 73959999 = 3 x 47 x 61 x 8599

Step 4: Therefore, the least common multiple of 8599 and 8601 is 73959999.