Least Common Multiple of 3643 and 3649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3643 and 3649 the smallest integer that is 13293307 that is divisible by both numbers.

Least Common Multiple (LCM) of 3643 and 3649 is 13293307.

LCM(3643,3649) = 13293307

LCM of 3643 and 3649

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

LCM of:
and

Least Common Multiple of 3643 and 3649

LCM of 3643 and 3649 is 13293307

Least common multiple can be found by multiplying the highest exponent prime factors of 3643 and 3649. First we will calculate the prime factors of 3643 and 3649.

Prime Factorization of 3643


3643 3643
1

Prime factors of 3643 are 3643. Prime factorization of 3643 in exponential form is:

3643 = 36431

Prime Factorization of 3649


41 3649
89 89
1

Prime factors of 3649 are 41,89. Prime factorization of 3649 in exponential form is:

3649 = 411×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3643 and 3649.

LCM(3643,3649) = 411×891×36431
LCM(3643,3649) = 13293307

Factors of 3643

List of positive integer factors of 3643 that divides 3643 without a remainder.

1, 3643

Factors of 3649

List of positive integer factors of 3649 that divides 3649 without a remainder.

1, 41, 89, 3649

Least Common Multiple of 3643 and 3649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3643 and 3649, than apply into the LCM equation.

GCF(3643,3649) = 1
LCM(3643,3649) = ( 3643 × 3649) / 1
LCM(3643,3649) = 13293307 / 1
LCM(3643,3649) = 13293307

Properties of LCM 3643 and 3649

(i) The LCM of 3649 and 3643 is associative

LCM of 3643 and 3649 = LCM of 3649 and 3643

Related Least Common Multiples of 3643

Related Least Common Multiples of 3649

Frequently Asked Questions on LCM of 3643 and 3649

1. What is the LCM of 3643 and 3649?

Answer: LCM of 3643 and 3649 is 13293307.

2. What are the Factors of 3643?

Answer: Factors of 3643 are 1, 3643. There are 2 integers that are factors of 3643. The greatest factor of 3643 is 3643.

3. What are the Factors of 3649?

Answer: Factors of 3649 are 1, 41, 89, 3649. There are 4 integers that are factors of 3649. The greatest factor of 3649 is 3649.

4. How to Find the LCM of 3643 and 3649?

Answer:

Least Common Multiple of 3643 and 3649 = 13293307

Step 1: Find the prime factorization of 3643

3643 = 3643

Step 2: Find the prime factorization of 3649

3649 = 41 x 89

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

LCM = 13293307 = 41 x 89 x 3643

Step 4: Therefore, the least common multiple of 3643 and 3649 is 13293307.