Least Common Multiple of 3604 and 3608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3604 and 3608 the smallest integer that is 3250808 that is divisible by both numbers.

Least Common Multiple (LCM) of 3604 and 3608 is 3250808.

LCM(3604,3608) = 3250808

LCM of 3604 and 3608

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

LCM of:
and

Least Common Multiple of 3604 and 3608

LCM of 3604 and 3608 is 3250808

Least common multiple can be found by multiplying the highest exponent prime factors of 3604 and 3608. First we will calculate the prime factors of 3604 and 3608.

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

Prime Factorization of 3608


2 3608
2 1804
2 902
11 451
41 41
1

Prime factors of 3608 are 2, 11,41. Prime factorization of 3608 in exponential form is:

3608 = 23×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3604 and 3608.

LCM(3604,3608) = 23×111×171×411×531
LCM(3604,3608) = 3250808

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

Factors of 3608

List of positive integer factors of 3608 that divides 3608 without a remainder.

1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608

Least Common Multiple of 3604 and 3608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3604 and 3608, than apply into the LCM equation.

GCF(3604,3608) = 4
LCM(3604,3608) = ( 3604 × 3608) / 4
LCM(3604,3608) = 13003232 / 4
LCM(3604,3608) = 3250808

Properties of LCM 3604 and 3608

(i) The LCM of 3608 and 3604 is associative

LCM of 3604 and 3608 = LCM of 3608 and 3604

Related Least Common Multiples of 3604

Related Least Common Multiples of 3608

Frequently Asked Questions on LCM of 3604 and 3608

1. What is the LCM of 3604 and 3608?

Answer: LCM of 3604 and 3608 is 3250808.

2. 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.

3. What are the Factors of 3608?

Answer: Factors of 3608 are 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608. There are 16 integers that are factors of 3608. The greatest factor of 3608 is 3608.

4. How to Find the LCM of 3604 and 3608?

Answer:

Least Common Multiple of 3604 and 3608 = 3250808

Step 1: Find the prime factorization of 3604

3604 = 2 x 2 x 17 x 53

Step 2: Find the prime factorization of 3608

3608 = 2 x 2 x 2 x 11 x 41

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

LCM = 3250808 = 2 x 2 x 2 x 11 x 17 x 41 x 53

Step 4: Therefore, the least common multiple of 3604 and 3608 is 3250808.