Least Common Multiple of 8597 and 8598

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 8598 the smallest integer that is 73917006 that is divisible by both numbers.

Least Common Multiple (LCM) of 8597 and 8598 is 73917006.

LCM(8597,8598) = 73917006

LCM of 8597 and 8598

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

LCM of:
and

Least Common Multiple of 8597 and 8598

LCM of 8597 and 8598 is 73917006

Least common multiple can be found by multiplying the highest exponent prime factors of 8597 and 8598. First we will calculate the prime factors of 8597 and 8598.

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 8598


2 8598
3 4299
1433 1433
1

Prime factors of 8598 are 2, 3,1433. Prime factorization of 8598 in exponential form is:

8598 = 21×31×14331

Now multiplying the highest exponent prime factors to calculate the LCM of 8597 and 8598.

LCM(8597,8598) = 21×31×14331×85971
LCM(8597,8598) = 73917006

Factors of 8597

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

1, 8597

Factors of 8598

List of positive integer factors of 8598 that divides 8598 without a remainder.

1, 2, 3, 6, 1433, 2866, 4299, 8598

Least Common Multiple of 8597 and 8598 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 8598, than apply into the LCM equation.

GCF(8597,8598) = 1
LCM(8597,8598) = ( 8597 × 8598) / 1
LCM(8597,8598) = 73917006 / 1
LCM(8597,8598) = 73917006

Properties of LCM 8597 and 8598

(i) The LCM of 8598 and 8597 is associative

LCM of 8597 and 8598 = LCM of 8598 and 8597

Related Least Common Multiples of 8597

Related Least Common Multiples of 8598

Frequently Asked Questions on LCM of 8597 and 8598

1. What is the LCM of 8597 and 8598?

Answer: LCM of 8597 and 8598 is 73917006.

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 8598?

Answer: Factors of 8598 are 1, 2, 3, 6, 1433, 2866, 4299, 8598. There are 8 integers that are factors of 8598. The greatest factor of 8598 is 8598.

4. How to Find the LCM of 8597 and 8598?

Answer:

Least Common Multiple of 8597 and 8598 = 73917006

Step 1: Find the prime factorization of 8597

8597 = 8597

Step 2: Find the prime factorization of 8598

8598 = 2 x 3 x 1433

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

LCM = 73917006 = 2 x 3 x 1433 x 8597

Step 4: Therefore, the least common multiple of 8597 and 8598 is 73917006.