Least Common Multiple of 8599 and 8604

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 8604 the smallest integer that is 73985796 that is divisible by both numbers.

Least Common Multiple (LCM) of 8599 and 8604 is 73985796.

LCM(8599,8604) = 73985796

LCM of 8599 and 8604

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

LCM of:
and

Least Common Multiple of 8599 and 8604

LCM of 8599 and 8604 is 73985796

Least common multiple can be found by multiplying the highest exponent prime factors of 8599 and 8604. First we will calculate the prime factors of 8599 and 8604.

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 8604


2 8604
2 4302
3 2151
3 717
239 239
1

Prime factors of 8604 are 2, 3,239. Prime factorization of 8604 in exponential form is:

8604 = 22×32×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 8599 and 8604.

LCM(8599,8604) = 22×32×2391×85991
LCM(8599,8604) = 73985796

Factors of 8599

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

1, 8599

Factors of 8604

List of positive integer factors of 8604 that divides 8604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604

Least Common Multiple of 8599 and 8604 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 8604, than apply into the LCM equation.

GCF(8599,8604) = 1
LCM(8599,8604) = ( 8599 × 8604) / 1
LCM(8599,8604) = 73985796 / 1
LCM(8599,8604) = 73985796

Properties of LCM 8599 and 8604

(i) The LCM of 8604 and 8599 is associative

LCM of 8599 and 8604 = LCM of 8604 and 8599

Related Least Common Multiples of 8599

Related Least Common Multiples of 8604

Frequently Asked Questions on LCM of 8599 and 8604

1. What is the LCM of 8599 and 8604?

Answer: LCM of 8599 and 8604 is 73985796.

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 8604?

Answer: Factors of 8604 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604. There are 18 integers that are factors of 8604. The greatest factor of 8604 is 8604.

4. How to Find the LCM of 8599 and 8604?

Answer:

Least Common Multiple of 8599 and 8604 = 73985796

Step 1: Find the prime factorization of 8599

8599 = 8599

Step 2: Find the prime factorization of 8604

8604 = 2 x 2 x 3 x 3 x 239

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

LCM = 73985796 = 2 x 2 x 3 x 3 x 239 x 8599

Step 4: Therefore, the least common multiple of 8599 and 8604 is 73985796.