Least Common Multiple of 3656 and 3664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3656 and 3664 the smallest integer that is 1674448 that is divisible by both numbers.

Least Common Multiple (LCM) of 3656 and 3664 is 1674448.

LCM(3656,3664) = 1674448

LCM of 3656 and 3664

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

LCM of:
and

Least Common Multiple of 3656 and 3664

LCM of 3656 and 3664 is 1674448

Least common multiple can be found by multiplying the highest exponent prime factors of 3656 and 3664. First we will calculate the prime factors of 3656 and 3664.

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

Prime Factorization of 3664


2 3664
2 1832
2 916
2 458
229 229
1

Prime factors of 3664 are 2,229. Prime factorization of 3664 in exponential form is:

3664 = 24×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 3656 and 3664.

LCM(3656,3664) = 24×2291×4571
LCM(3656,3664) = 1674448

Factors of 3656

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

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

Factors of 3664

List of positive integer factors of 3664 that divides 3664 without a remainder.

1, 2, 4, 8, 16, 229, 458, 916, 1832, 3664

Least Common Multiple of 3656 and 3664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3656 and 3664, than apply into the LCM equation.

GCF(3656,3664) = 8
LCM(3656,3664) = ( 3656 × 3664) / 8
LCM(3656,3664) = 13395584 / 8
LCM(3656,3664) = 1674448

Properties of LCM 3656 and 3664

(i) The LCM of 3664 and 3656 is associative

LCM of 3656 and 3664 = LCM of 3664 and 3656

Related Least Common Multiples of 3656

Related Least Common Multiples of 3664

Frequently Asked Questions on LCM of 3656 and 3664

1. What is the LCM of 3656 and 3664?

Answer: LCM of 3656 and 3664 is 1674448.

2. 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.

3. What are the Factors of 3664?

Answer: Factors of 3664 are 1, 2, 4, 8, 16, 229, 458, 916, 1832, 3664. There are 10 integers that are factors of 3664. The greatest factor of 3664 is 3664.

4. How to Find the LCM of 3656 and 3664?

Answer:

Least Common Multiple of 3656 and 3664 = 1674448

Step 1: Find the prime factorization of 3656

3656 = 2 x 2 x 2 x 457

Step 2: Find the prime factorization of 3664

3664 = 2 x 2 x 2 x 2 x 229

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

LCM = 1674448 = 2 x 2 x 2 x 2 x 229 x 457

Step 4: Therefore, the least common multiple of 3656 and 3664 is 1674448.