Least Common Multiple of 3644 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 3644 and 3649 the smallest integer that is 13296956 that is divisible by both numbers.

Least Common Multiple (LCM) of 3644 and 3649 is 13296956.

LCM(3644,3649) = 13296956

LCM of 3644 and 3649

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

LCM of:
and

Least Common Multiple of 3644 and 3649

LCM of 3644 and 3649 is 13296956

Least common multiple can be found by multiplying the highest exponent prime factors of 3644 and 3649. First we will calculate the prime factors of 3644 and 3649.

Prime Factorization of 3644


2 3644
2 1822
911 911
1

Prime factors of 3644 are 2,911. Prime factorization of 3644 in exponential form is:

3644 = 22×9111

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 3644 and 3649.

LCM(3644,3649) = 22×411×891×9111
LCM(3644,3649) = 13296956

Factors of 3644

List of positive integer factors of 3644 that divides 3644 without a remainder.

1, 2, 4, 911, 1822, 3644

Factors of 3649

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

1, 41, 89, 3649

Least Common Multiple of 3644 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 3644 and 3649, than apply into the LCM equation.

GCF(3644,3649) = 1
LCM(3644,3649) = ( 3644 × 3649) / 1
LCM(3644,3649) = 13296956 / 1
LCM(3644,3649) = 13296956

Properties of LCM 3644 and 3649

(i) The LCM of 3649 and 3644 is associative

LCM of 3644 and 3649 = LCM of 3649 and 3644

Related Least Common Multiples of 3644

Related Least Common Multiples of 3649

Frequently Asked Questions on LCM of 3644 and 3649

1. What is the LCM of 3644 and 3649?

Answer: LCM of 3644 and 3649 is 13296956.

2. What are the Factors of 3644?

Answer: Factors of 3644 are 1, 2, 4, 911, 1822, 3644. There are 6 integers that are factors of 3644. The greatest factor of 3644 is 3644.

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 3644 and 3649?

Answer:

Least Common Multiple of 3644 and 3649 = 13296956

Step 1: Find the prime factorization of 3644

3644 = 2 x 2 x 911

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 = 13296956 = 2 x 2 x 41 x 89 x 911

Step 4: Therefore, the least common multiple of 3644 and 3649 is 13296956.