Least Common Multiple of 3663 and 3667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3663 and 3667 the smallest integer that is 13432221 that is divisible by both numbers.

Least Common Multiple (LCM) of 3663 and 3667 is 13432221.

LCM(3663,3667) = 13432221

LCM of 3663 and 3667

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

LCM of:
and

Least Common Multiple of 3663 and 3667

LCM of 3663 and 3667 is 13432221

Least common multiple can be found by multiplying the highest exponent prime factors of 3663 and 3667. First we will calculate the prime factors of 3663 and 3667.

Prime Factorization of 3663


3 3663
3 1221
11 407
37 37
1

Prime factors of 3663 are 3, 11,37. Prime factorization of 3663 in exponential form is:

3663 = 32×111×371

Prime Factorization of 3667


19 3667
193 193
1

Prime factors of 3667 are 19,193. Prime factorization of 3667 in exponential form is:

3667 = 191×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 3663 and 3667.

LCM(3663,3667) = 32×111×191×371×1931
LCM(3663,3667) = 13432221

Factors of 3663

List of positive integer factors of 3663 that divides 3663 without a remainder.

1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663

Factors of 3667

List of positive integer factors of 3667 that divides 3667 without a remainder.

1, 19, 193, 3667

Least Common Multiple of 3663 and 3667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3663 and 3667, than apply into the LCM equation.

GCF(3663,3667) = 1
LCM(3663,3667) = ( 3663 × 3667) / 1
LCM(3663,3667) = 13432221 / 1
LCM(3663,3667) = 13432221

Properties of LCM 3663 and 3667

(i) The LCM of 3667 and 3663 is associative

LCM of 3663 and 3667 = LCM of 3667 and 3663

Related Least Common Multiples of 3663

Related Least Common Multiples of 3667

Frequently Asked Questions on LCM of 3663 and 3667

1. What is the LCM of 3663 and 3667?

Answer: LCM of 3663 and 3667 is 13432221.

2. What are the Factors of 3663?

Answer: Factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663. There are 12 integers that are factors of 3663. The greatest factor of 3663 is 3663.

3. What are the Factors of 3667?

Answer: Factors of 3667 are 1, 19, 193, 3667. There are 4 integers that are factors of 3667. The greatest factor of 3667 is 3667.

4. How to Find the LCM of 3663 and 3667?

Answer:

Least Common Multiple of 3663 and 3667 = 13432221

Step 1: Find the prime factorization of 3663

3663 = 3 x 3 x 11 x 37

Step 2: Find the prime factorization of 3667

3667 = 19 x 193

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

LCM = 13432221 = 3 x 3 x 11 x 19 x 37 x 193

Step 4: Therefore, the least common multiple of 3663 and 3667 is 13432221.