Least Common Multiple of 8597 and 8599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 8597 and 8599 the smallest integer that is 73925603 that is divisible by both numbers.

Least Common Multiple (LCM) of 8597 and 8599 is 73925603.

LCM(8597,8599) = 73925603

LCM of 8597 and 8599

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

LCM of:
and

Least Common Multiple of 8597 and 8599

LCM of 8597 and 8599 is 73925603

Least common multiple can be found by multiplying the highest exponent prime factors of 8597 and 8599. First we will calculate the prime factors of 8597 and 8599.

Prime Factorization of 8597


8597 8597
1

Prime factors of 8597 are 8597. Prime factorization of 8597 in exponential form is:

8597 = 85971

Prime Factorization of 8599


8599 8599
1

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

8599 = 85991

Now multiplying the highest exponent prime factors to calculate the LCM of 8597 and 8599.

LCM(8597,8599) = 85971×85991
LCM(8597,8599) = 73925603

Factors of 8597

List of positive integer factors of 8597 that divides 8597 without a remainder.

1, 8597

Factors of 8599

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

1, 8599

Least Common Multiple of 8597 and 8599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8597 and 8599, than apply into the LCM equation.

GCF(8597,8599) = 1
LCM(8597,8599) = ( 8597 × 8599) / 1
LCM(8597,8599) = 73925603 / 1
LCM(8597,8599) = 73925603

Properties of LCM 8597 and 8599

(i) The LCM of 8599 and 8597 is associative

LCM of 8597 and 8599 = LCM of 8599 and 8597

Frequently Asked Questions on LCM of 8597 and 8599

1. What is the LCM of 8597 and 8599?

Answer: LCM of 8597 and 8599 is 73925603.

2. What are the Factors of 8597?

Answer: Factors of 8597 are 1, 8597. There are 2 integers that are factors of 8597. The greatest factor of 8597 is 8597.

3. 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.

4. How to Find the LCM of 8597 and 8599?

Answer:

Least Common Multiple of 8597 and 8599 = 73925603

Step 1: Find the prime factorization of 8597

8597 = 8597

Step 2: Find the prime factorization of 8599

8599 = 8599

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

LCM = 73925603 = 8597 x 8599

Step 4: Therefore, the least common multiple of 8597 and 8599 is 73925603.