Least Common Multiple of 3603 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 3603 and 3608 the smallest integer that is 12999624 that is divisible by both numbers.

Least Common Multiple (LCM) of 3603 and 3608 is 12999624.

LCM(3603,3608) = 12999624

LCM of 3603 and 3608

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

LCM of:
and

Least Common Multiple of 3603 and 3608

LCM of 3603 and 3608 is 12999624

Least common multiple can be found by multiplying the highest exponent prime factors of 3603 and 3608. First we will calculate the prime factors of 3603 and 3608.

Prime Factorization of 3603


3 3603
1201 1201
1

Prime factors of 3603 are 3,1201. Prime factorization of 3603 in exponential form is:

3603 = 31×12011

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 3603 and 3608.

LCM(3603,3608) = 23×31×111×411×12011
LCM(3603,3608) = 12999624

Factors of 3603

List of positive integer factors of 3603 that divides 3603 without a remainder.

1, 3, 1201, 3603

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 3603 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 3603 and 3608, than apply into the LCM equation.

GCF(3603,3608) = 1
LCM(3603,3608) = ( 3603 × 3608) / 1
LCM(3603,3608) = 12999624 / 1
LCM(3603,3608) = 12999624

Properties of LCM 3603 and 3608

(i) The LCM of 3608 and 3603 is associative

LCM of 3603 and 3608 = LCM of 3608 and 3603

Related Least Common Multiples of 3603

Related Least Common Multiples of 3608

Frequently Asked Questions on LCM of 3603 and 3608

1. What is the LCM of 3603 and 3608?

Answer: LCM of 3603 and 3608 is 12999624.

2. What are the Factors of 3603?

Answer: Factors of 3603 are 1, 3, 1201, 3603. There are 4 integers that are factors of 3603. The greatest factor of 3603 is 3603.

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 3603 and 3608?

Answer:

Least Common Multiple of 3603 and 3608 = 12999624

Step 1: Find the prime factorization of 3603

3603 = 3 x 1201

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 = 12999624 = 2 x 2 x 2 x 3 x 11 x 41 x 1201

Step 4: Therefore, the least common multiple of 3603 and 3608 is 12999624.