Least Common Multiple of 3598 and 3604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3598 and 3604 the smallest integer that is 6483596 that is divisible by both numbers.

Least Common Multiple (LCM) of 3598 and 3604 is 6483596.

LCM(3598,3604) = 6483596

LCM of 3598 and 3604

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

LCM of:
and

Least Common Multiple of 3598 and 3604

LCM of 3598 and 3604 is 6483596

Least common multiple can be found by multiplying the highest exponent prime factors of 3598 and 3604. First we will calculate the prime factors of 3598 and 3604.

Prime Factorization of 3598


2 3598
7 1799
257 257
1

Prime factors of 3598 are 2, 7,257. Prime factorization of 3598 in exponential form is:

3598 = 21×71×2571

Prime Factorization of 3604


2 3604
2 1802
17 901
53 53
1

Prime factors of 3604 are 2, 17,53. Prime factorization of 3604 in exponential form is:

3604 = 22×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 3598 and 3604.

LCM(3598,3604) = 22×71×171×531×2571
LCM(3598,3604) = 6483596

Factors of 3598

List of positive integer factors of 3598 that divides 3598 without a remainder.

1, 2, 7, 14, 257, 514, 1799, 3598

Factors of 3604

List of positive integer factors of 3604 that divides 3604 without a remainder.

1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604

Least Common Multiple of 3598 and 3604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3598 and 3604, than apply into the LCM equation.

GCF(3598,3604) = 2
LCM(3598,3604) = ( 3598 × 3604) / 2
LCM(3598,3604) = 12967192 / 2
LCM(3598,3604) = 6483596

Properties of LCM 3598 and 3604

(i) The LCM of 3604 and 3598 is associative

LCM of 3598 and 3604 = LCM of 3604 and 3598

Related Least Common Multiples of 3598

Related Least Common Multiples of 3604

Frequently Asked Questions on LCM of 3598 and 3604

1. What is the LCM of 3598 and 3604?

Answer: LCM of 3598 and 3604 is 6483596.

2. What are the Factors of 3598?

Answer: Factors of 3598 are 1, 2, 7, 14, 257, 514, 1799, 3598. There are 8 integers that are factors of 3598. The greatest factor of 3598 is 3598.

3. What are the Factors of 3604?

Answer: Factors of 3604 are 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604. There are 12 integers that are factors of 3604. The greatest factor of 3604 is 3604.

4. How to Find the LCM of 3598 and 3604?

Answer:

Least Common Multiple of 3598 and 3604 = 6483596

Step 1: Find the prime factorization of 3598

3598 = 2 x 7 x 257

Step 2: Find the prime factorization of 3604

3604 = 2 x 2 x 17 x 53

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

LCM = 6483596 = 2 x 2 x 7 x 17 x 53 x 257

Step 4: Therefore, the least common multiple of 3598 and 3604 is 6483596.