Least Common Multiple of 3609 and 3617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3609 and 3617 the smallest integer that is 13053753 that is divisible by both numbers.

Least Common Multiple (LCM) of 3609 and 3617 is 13053753.

LCM(3609,3617) = 13053753

LCM of 3609 and 3617

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

LCM of:
and

Least Common Multiple of 3609 and 3617

LCM of 3609 and 3617 is 13053753

Least common multiple can be found by multiplying the highest exponent prime factors of 3609 and 3617. First we will calculate the prime factors of 3609 and 3617.

Prime Factorization of 3609


3 3609
3 1203
401 401
1

Prime factors of 3609 are 3,401. Prime factorization of 3609 in exponential form is:

3609 = 32×4011

Prime Factorization of 3617


3617 3617
1

Prime factors of 3617 are 3617. Prime factorization of 3617 in exponential form is:

3617 = 36171

Now multiplying the highest exponent prime factors to calculate the LCM of 3609 and 3617.

LCM(3609,3617) = 32×4011×36171
LCM(3609,3617) = 13053753

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1, 3, 9, 401, 1203, 3609

Factors of 3617

List of positive integer factors of 3617 that divides 3617 without a remainder.

1, 3617

Least Common Multiple of 3609 and 3617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3609 and 3617, than apply into the LCM equation.

GCF(3609,3617) = 1
LCM(3609,3617) = ( 3609 × 3617) / 1
LCM(3609,3617) = 13053753 / 1
LCM(3609,3617) = 13053753

Properties of LCM 3609 and 3617

(i) The LCM of 3617 and 3609 is associative

LCM of 3609 and 3617 = LCM of 3617 and 3609

Related Least Common Multiples of 3609

Related Least Common Multiples of 3617

Frequently Asked Questions on LCM of 3609 and 3617

1. What is the LCM of 3609 and 3617?

Answer: LCM of 3609 and 3617 is 13053753.

2. What are the Factors of 3609?

Answer: Factors of 3609 are 1, 3, 9, 401, 1203, 3609. There are 6 integers that are factors of 3609. The greatest factor of 3609 is 3609.

3. What are the Factors of 3617?

Answer: Factors of 3617 are 1, 3617. There are 2 integers that are factors of 3617. The greatest factor of 3617 is 3617.

4. How to Find the LCM of 3609 and 3617?

Answer:

Least Common Multiple of 3609 and 3617 = 13053753

Step 1: Find the prime factorization of 3609

3609 = 3 x 3 x 401

Step 2: Find the prime factorization of 3617

3617 = 3617

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

LCM = 13053753 = 3 x 3 x 401 x 3617

Step 4: Therefore, the least common multiple of 3609 and 3617 is 13053753.