Least Common Multiple of 3649 and 3656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3649 and 3656 the smallest integer that is 13340744 that is divisible by both numbers.

Least Common Multiple (LCM) of 3649 and 3656 is 13340744.

LCM(3649,3656) = 13340744

LCM of 3649 and 3656

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

LCM of:
and

Least Common Multiple of 3649 and 3656

LCM of 3649 and 3656 is 13340744

Least common multiple can be found by multiplying the highest exponent prime factors of 3649 and 3656. First we will calculate the prime factors of 3649 and 3656.

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

Prime Factorization of 3656


2 3656
2 1828
2 914
457 457
1

Prime factors of 3656 are 2,457. Prime factorization of 3656 in exponential form is:

3656 = 23×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 3649 and 3656.

LCM(3649,3656) = 23×411×891×4571
LCM(3649,3656) = 13340744

Factors of 3649

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

1, 41, 89, 3649

Factors of 3656

List of positive integer factors of 3656 that divides 3656 without a remainder.

1, 2, 4, 8, 457, 914, 1828, 3656

Least Common Multiple of 3649 and 3656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3649 and 3656, than apply into the LCM equation.

GCF(3649,3656) = 1
LCM(3649,3656) = ( 3649 × 3656) / 1
LCM(3649,3656) = 13340744 / 1
LCM(3649,3656) = 13340744

Properties of LCM 3649 and 3656

(i) The LCM of 3656 and 3649 is associative

LCM of 3649 and 3656 = LCM of 3656 and 3649

Related Least Common Multiples of 3649

Related Least Common Multiples of 3656

Frequently Asked Questions on LCM of 3649 and 3656

1. What is the LCM of 3649 and 3656?

Answer: LCM of 3649 and 3656 is 13340744.

2. 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.

3. What are the Factors of 3656?

Answer: Factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656. There are 8 integers that are factors of 3656. The greatest factor of 3656 is 3656.

4. How to Find the LCM of 3649 and 3656?

Answer:

Least Common Multiple of 3649 and 3656 = 13340744

Step 1: Find the prime factorization of 3649

3649 = 41 x 89

Step 2: Find the prime factorization of 3656

3656 = 2 x 2 x 2 x 457

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

LCM = 13340744 = 2 x 2 x 2 x 41 x 89 x 457

Step 4: Therefore, the least common multiple of 3649 and 3656 is 13340744.