Least Common Multiple of 3664 and 3670

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 3670 the smallest integer that is 6723440 that is divisible by both numbers.

Least Common Multiple (LCM) of 3664 and 3670 is 6723440.

LCM(3664,3670) = 6723440

LCM of 3664 and 3670

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

LCM of:
and

Least Common Multiple of 3664 and 3670

LCM of 3664 and 3670 is 6723440

Least common multiple can be found by multiplying the highest exponent prime factors of 3664 and 3670. First we will calculate the prime factors of 3664 and 3670.

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 3670


2 3670
5 1835
367 367
1

Prime factors of 3670 are 2, 5,367. Prime factorization of 3670 in exponential form is:

3670 = 21×51×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 3664 and 3670.

LCM(3664,3670) = 24×51×2291×3671
LCM(3664,3670) = 6723440

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 3670

List of positive integer factors of 3670 that divides 3670 without a remainder.

1, 2, 5, 10, 367, 734, 1835, 3670

Least Common Multiple of 3664 and 3670 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 3670, than apply into the LCM equation.

GCF(3664,3670) = 2
LCM(3664,3670) = ( 3664 × 3670) / 2
LCM(3664,3670) = 13446880 / 2
LCM(3664,3670) = 6723440

Properties of LCM 3664 and 3670

(i) The LCM of 3670 and 3664 is associative

LCM of 3664 and 3670 = LCM of 3670 and 3664

Related Least Common Multiples of 3664

Related Least Common Multiples of 3670

Frequently Asked Questions on LCM of 3664 and 3670

1. What is the LCM of 3664 and 3670?

Answer: LCM of 3664 and 3670 is 6723440.

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 3670?

Answer: Factors of 3670 are 1, 2, 5, 10, 367, 734, 1835, 3670. There are 8 integers that are factors of 3670. The greatest factor of 3670 is 3670.

4. How to Find the LCM of 3664 and 3670?

Answer:

Least Common Multiple of 3664 and 3670 = 6723440

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 3670

3670 = 2 x 5 x 367

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

LCM = 6723440 = 2 x 2 x 2 x 2 x 5 x 229 x 367

Step 4: Therefore, the least common multiple of 3664 and 3670 is 6723440.