Least Common Multiple of 3657 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 3657 and 3664 the smallest integer that is 13399248 that is divisible by both numbers.

Least Common Multiple (LCM) of 3657 and 3664 is 13399248.

LCM(3657,3664) = 13399248

LCM of 3657 and 3664

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

LCM of:
and

Least Common Multiple of 3657 and 3664

LCM of 3657 and 3664 is 13399248

Least common multiple can be found by multiplying the highest exponent prime factors of 3657 and 3664. First we will calculate the prime factors of 3657 and 3664.

Prime Factorization of 3657


3 3657
23 1219
53 53
1

Prime factors of 3657 are 3, 23,53. Prime factorization of 3657 in exponential form is:

3657 = 31×231×531

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 3657 and 3664.

LCM(3657,3664) = 24×31×231×531×2291
LCM(3657,3664) = 13399248

Factors of 3657

List of positive integer factors of 3657 that divides 3657 without a remainder.

1, 3, 23, 53, 69, 159, 1219, 3657

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 3657 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 3657 and 3664, than apply into the LCM equation.

GCF(3657,3664) = 1
LCM(3657,3664) = ( 3657 × 3664) / 1
LCM(3657,3664) = 13399248 / 1
LCM(3657,3664) = 13399248

Properties of LCM 3657 and 3664

(i) The LCM of 3664 and 3657 is associative

LCM of 3657 and 3664 = LCM of 3664 and 3657

Related Least Common Multiples of 3657

Related Least Common Multiples of 3664

Frequently Asked Questions on LCM of 3657 and 3664

1. What is the LCM of 3657 and 3664?

Answer: LCM of 3657 and 3664 is 13399248.

2. What are the Factors of 3657?

Answer: Factors of 3657 are 1, 3, 23, 53, 69, 159, 1219, 3657. There are 8 integers that are factors of 3657. The greatest factor of 3657 is 3657.

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 3657 and 3664?

Answer:

Least Common Multiple of 3657 and 3664 = 13399248

Step 1: Find the prime factorization of 3657

3657 = 3 x 23 x 53

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 = 13399248 = 2 x 2 x 2 x 2 x 3 x 23 x 53 x 229

Step 4: Therefore, the least common multiple of 3657 and 3664 is 13399248.