Least Common Multiple of 4599 and 4604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4599 and 4604 the smallest integer that is 21173796 that is divisible by both numbers.

Least Common Multiple (LCM) of 4599 and 4604 is 21173796.

LCM(4599,4604) = 21173796

LCM of 4599 and 4604

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

LCM of:
and

Least Common Multiple of 4599 and 4604

LCM of 4599 and 4604 is 21173796

Least common multiple can be found by multiplying the highest exponent prime factors of 4599 and 4604. First we will calculate the prime factors of 4599 and 4604.

Prime Factorization of 4599


3 4599
3 1533
7 511
73 73
1

Prime factors of 4599 are 3, 7,73. Prime factorization of 4599 in exponential form is:

4599 = 32×71×731

Prime Factorization of 4604


2 4604
2 2302
1151 1151
1

Prime factors of 4604 are 2,1151. Prime factorization of 4604 in exponential form is:

4604 = 22×11511

Now multiplying the highest exponent prime factors to calculate the LCM of 4599 and 4604.

LCM(4599,4604) = 22×32×71×731×11511
LCM(4599,4604) = 21173796

Factors of 4599

List of positive integer factors of 4599 that divides 4599 without a remainder.

1, 3, 7, 9, 21, 63, 73, 219, 511, 657, 1533, 4599

Factors of 4604

List of positive integer factors of 4604 that divides 4604 without a remainder.

1, 2, 4, 1151, 2302, 4604

Least Common Multiple of 4599 and 4604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4599 and 4604, than apply into the LCM equation.

GCF(4599,4604) = 1
LCM(4599,4604) = ( 4599 × 4604) / 1
LCM(4599,4604) = 21173796 / 1
LCM(4599,4604) = 21173796

Properties of LCM 4599 and 4604

(i) The LCM of 4604 and 4599 is associative

LCM of 4599 and 4604 = LCM of 4604 and 4599

Related Least Common Multiples of 4599

Related Least Common Multiples of 4604

Frequently Asked Questions on LCM of 4599 and 4604

1. What is the LCM of 4599 and 4604?

Answer: LCM of 4599 and 4604 is 21173796.

2. What are the Factors of 4599?

Answer: Factors of 4599 are 1, 3, 7, 9, 21, 63, 73, 219, 511, 657, 1533, 4599. There are 12 integers that are factors of 4599. The greatest factor of 4599 is 4599.

3. What are the Factors of 4604?

Answer: Factors of 4604 are 1, 2, 4, 1151, 2302, 4604. There are 6 integers that are factors of 4604. The greatest factor of 4604 is 4604.

4. How to Find the LCM of 4599 and 4604?

Answer:

Least Common Multiple of 4599 and 4604 = 21173796

Step 1: Find the prime factorization of 4599

4599 = 3 x 3 x 7 x 73

Step 2: Find the prime factorization of 4604

4604 = 2 x 2 x 1151

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

LCM = 21173796 = 2 x 2 x 3 x 3 x 7 x 73 x 1151

Step 4: Therefore, the least common multiple of 4599 and 4604 is 21173796.