Least Common Multiple of 3664 and 3669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3664 and 3669 the smallest integer that is 13443216 that is divisible by both numbers.

Least Common Multiple (LCM) of 3664 and 3669 is 13443216.

LCM(3664,3669) = 13443216

LCM of 3664 and 3669

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

LCM of:
and

Least Common Multiple of 3664 and 3669

LCM of 3664 and 3669 is 13443216

Least common multiple can be found by multiplying the highest exponent prime factors of 3664 and 3669. First we will calculate the prime factors of 3664 and 3669.

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

Prime Factorization of 3669


3 3669
1223 1223
1

Prime factors of 3669 are 3,1223. Prime factorization of 3669 in exponential form is:

3669 = 31×12231

Now multiplying the highest exponent prime factors to calculate the LCM of 3664 and 3669.

LCM(3664,3669) = 24×31×2291×12231
LCM(3664,3669) = 13443216

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

Factors of 3669

List of positive integer factors of 3669 that divides 3669 without a remainder.

1, 3, 1223, 3669

Least Common Multiple of 3664 and 3669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3664 and 3669, than apply into the LCM equation.

GCF(3664,3669) = 1
LCM(3664,3669) = ( 3664 × 3669) / 1
LCM(3664,3669) = 13443216 / 1
LCM(3664,3669) = 13443216

Properties of LCM 3664 and 3669

(i) The LCM of 3669 and 3664 is associative

LCM of 3664 and 3669 = LCM of 3669 and 3664

Related Least Common Multiples of 3664

Related Least Common Multiples of 3669

Frequently Asked Questions on LCM of 3664 and 3669

1. What is the LCM of 3664 and 3669?

Answer: LCM of 3664 and 3669 is 13443216.

2. 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.

3. What are the Factors of 3669?

Answer: Factors of 3669 are 1, 3, 1223, 3669. There are 4 integers that are factors of 3669. The greatest factor of 3669 is 3669.

4. How to Find the LCM of 3664 and 3669?

Answer:

Least Common Multiple of 3664 and 3669 = 13443216

Step 1: Find the prime factorization of 3664

3664 = 2 x 2 x 2 x 2 x 229

Step 2: Find the prime factorization of 3669

3669 = 3 x 1223

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

LCM = 13443216 = 2 x 2 x 2 x 2 x 3 x 229 x 1223

Step 4: Therefore, the least common multiple of 3664 and 3669 is 13443216.