Least Common Multiple of 3664 and 3668

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 3668 the smallest integer that is 3359888 that is divisible by both numbers.

Least Common Multiple (LCM) of 3664 and 3668 is 3359888.

LCM(3664,3668) = 3359888

LCM of 3664 and 3668

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

LCM of:
and

Least Common Multiple of 3664 and 3668

LCM of 3664 and 3668 is 3359888

Least common multiple can be found by multiplying the highest exponent prime factors of 3664 and 3668. First we will calculate the prime factors of 3664 and 3668.

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 3668


2 3668
2 1834
7 917
131 131
1

Prime factors of 3668 are 2, 7,131. Prime factorization of 3668 in exponential form is:

3668 = 22×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3664 and 3668.

LCM(3664,3668) = 24×71×1311×2291
LCM(3664,3668) = 3359888

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 3668

List of positive integer factors of 3668 that divides 3668 without a remainder.

1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668

Least Common Multiple of 3664 and 3668 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 3668, than apply into the LCM equation.

GCF(3664,3668) = 4
LCM(3664,3668) = ( 3664 × 3668) / 4
LCM(3664,3668) = 13439552 / 4
LCM(3664,3668) = 3359888

Properties of LCM 3664 and 3668

(i) The LCM of 3668 and 3664 is associative

LCM of 3664 and 3668 = LCM of 3668 and 3664

Related Least Common Multiples of 3664

Related Least Common Multiples of 3668

Frequently Asked Questions on LCM of 3664 and 3668

1. What is the LCM of 3664 and 3668?

Answer: LCM of 3664 and 3668 is 3359888.

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 3668?

Answer: Factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668. There are 12 integers that are factors of 3668. The greatest factor of 3668 is 3668.

4. How to Find the LCM of 3664 and 3668?

Answer:

Least Common Multiple of 3664 and 3668 = 3359888

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 3668

3668 = 2 x 2 x 7 x 131

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

LCM = 3359888 = 2 x 2 x 2 x 2 x 7 x 131 x 229

Step 4: Therefore, the least common multiple of 3664 and 3668 is 3359888.