Least Common Multiple of 3664 and 3672

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 3672 the smallest integer that is 1681776 that is divisible by both numbers.

Least Common Multiple (LCM) of 3664 and 3672 is 1681776.

LCM(3664,3672) = 1681776

LCM of 3664 and 3672

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

LCM of:
and

Least Common Multiple of 3664 and 3672

LCM of 3664 and 3672 is 1681776

Least common multiple can be found by multiplying the highest exponent prime factors of 3664 and 3672. First we will calculate the prime factors of 3664 and 3672.

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 3672


2 3672
2 1836
2 918
3 459
3 153
3 51
17 17
1

Prime factors of 3672 are 2, 3,17. Prime factorization of 3672 in exponential form is:

3672 = 23×33×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3664 and 3672.

LCM(3664,3672) = 24×33×171×2291
LCM(3664,3672) = 1681776

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 3672

List of positive integer factors of 3672 that divides 3672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836, 3672

Least Common Multiple of 3664 and 3672 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 3672, than apply into the LCM equation.

GCF(3664,3672) = 8
LCM(3664,3672) = ( 3664 × 3672) / 8
LCM(3664,3672) = 13454208 / 8
LCM(3664,3672) = 1681776

Properties of LCM 3664 and 3672

(i) The LCM of 3672 and 3664 is associative

LCM of 3664 and 3672 = LCM of 3672 and 3664

Related Least Common Multiples of 3664

Related Least Common Multiples of 3672

Frequently Asked Questions on LCM of 3664 and 3672

1. What is the LCM of 3664 and 3672?

Answer: LCM of 3664 and 3672 is 1681776.

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 3672?

Answer: Factors of 3672 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836, 3672. There are 32 integers that are factors of 3672. The greatest factor of 3672 is 3672.

4. How to Find the LCM of 3664 and 3672?

Answer:

Least Common Multiple of 3664 and 3672 = 1681776

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 3672

3672 = 2 x 2 x 2 x 3 x 3 x 3 x 17

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

LCM = 1681776 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 229

Step 4: Therefore, the least common multiple of 3664 and 3672 is 1681776.