Least Common Multiple of 3603 and 3611

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 3611 the smallest integer that is 13010433 that is divisible by both numbers.

Least Common Multiple (LCM) of 3603 and 3611 is 13010433.

LCM(3603,3611) = 13010433

LCM of 3603 and 3611

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

LCM of:
and

Least Common Multiple of 3603 and 3611

LCM of 3603 and 3611 is 13010433

Least common multiple can be found by multiplying the highest exponent prime factors of 3603 and 3611. First we will calculate the prime factors of 3603 and 3611.

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 3611


23 3611
157 157
1

Prime factors of 3611 are 23,157. Prime factorization of 3611 in exponential form is:

3611 = 231×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 3603 and 3611.

LCM(3603,3611) = 31×231×1571×12011
LCM(3603,3611) = 13010433

Factors of 3603

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

1, 3, 1201, 3603

Factors of 3611

List of positive integer factors of 3611 that divides 3611 without a remainder.

1, 23, 157, 3611

Least Common Multiple of 3603 and 3611 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 3611, than apply into the LCM equation.

GCF(3603,3611) = 1
LCM(3603,3611) = ( 3603 × 3611) / 1
LCM(3603,3611) = 13010433 / 1
LCM(3603,3611) = 13010433

Properties of LCM 3603 and 3611

(i) The LCM of 3611 and 3603 is associative

LCM of 3603 and 3611 = LCM of 3611 and 3603

Related Least Common Multiples of 3603

Related Least Common Multiples of 3611

Frequently Asked Questions on LCM of 3603 and 3611

1. What is the LCM of 3603 and 3611?

Answer: LCM of 3603 and 3611 is 13010433.

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 3611?

Answer: Factors of 3611 are 1, 23, 157, 3611. There are 4 integers that are factors of 3611. The greatest factor of 3611 is 3611.

4. How to Find the LCM of 3603 and 3611?

Answer:

Least Common Multiple of 3603 and 3611 = 13010433

Step 1: Find the prime factorization of 3603

3603 = 3 x 1201

Step 2: Find the prime factorization of 3611

3611 = 23 x 157

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

LCM = 13010433 = 3 x 23 x 157 x 1201

Step 4: Therefore, the least common multiple of 3603 and 3611 is 13010433.