Least Common Multiple of 3609 and 3614

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 3614 the smallest integer that is 13042926 that is divisible by both numbers.

Least Common Multiple (LCM) of 3609 and 3614 is 13042926.

LCM(3609,3614) = 13042926

LCM of 3609 and 3614

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

LCM of:
and

Least Common Multiple of 3609 and 3614

LCM of 3609 and 3614 is 13042926

Least common multiple can be found by multiplying the highest exponent prime factors of 3609 and 3614. First we will calculate the prime factors of 3609 and 3614.

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 3614


2 3614
13 1807
139 139
1

Prime factors of 3614 are 2, 13,139. Prime factorization of 3614 in exponential form is:

3614 = 21×131×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 3609 and 3614.

LCM(3609,3614) = 21×32×131×1391×4011
LCM(3609,3614) = 13042926

Factors of 3609

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

1, 3, 9, 401, 1203, 3609

Factors of 3614

List of positive integer factors of 3614 that divides 3614 without a remainder.

1, 2, 13, 26, 139, 278, 1807, 3614

Least Common Multiple of 3609 and 3614 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 3614, than apply into the LCM equation.

GCF(3609,3614) = 1
LCM(3609,3614) = ( 3609 × 3614) / 1
LCM(3609,3614) = 13042926 / 1
LCM(3609,3614) = 13042926

Properties of LCM 3609 and 3614

(i) The LCM of 3614 and 3609 is associative

LCM of 3609 and 3614 = LCM of 3614 and 3609

Related Least Common Multiples of 3609

Related Least Common Multiples of 3614

Frequently Asked Questions on LCM of 3609 and 3614

1. What is the LCM of 3609 and 3614?

Answer: LCM of 3609 and 3614 is 13042926.

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 3614?

Answer: Factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614. There are 8 integers that are factors of 3614. The greatest factor of 3614 is 3614.

4. How to Find the LCM of 3609 and 3614?

Answer:

Least Common Multiple of 3609 and 3614 = 13042926

Step 1: Find the prime factorization of 3609

3609 = 3 x 3 x 401

Step 2: Find the prime factorization of 3614

3614 = 2 x 13 x 139

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

LCM = 13042926 = 2 x 3 x 3 x 13 x 139 x 401

Step 4: Therefore, the least common multiple of 3609 and 3614 is 13042926.