Least Common Multiple of 3660 and 3666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3660 and 3666 the smallest integer that is 2236260 that is divisible by both numbers.

Least Common Multiple (LCM) of 3660 and 3666 is 2236260.

LCM(3660,3666) = 2236260

LCM of 3660 and 3666

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

LCM of:
and

Least Common Multiple of 3660 and 3666

LCM of 3660 and 3666 is 2236260

Least common multiple can be found by multiplying the highest exponent prime factors of 3660 and 3666. First we will calculate the prime factors of 3660 and 3666.

Prime Factorization of 3660


2 3660
2 1830
3 915
5 305
61 61
1

Prime factors of 3660 are 2, 3, 5,61. Prime factorization of 3660 in exponential form is:

3660 = 22×31×51×611

Prime Factorization of 3666


2 3666
3 1833
13 611
47 47
1

Prime factors of 3666 are 2, 3, 13,47. Prime factorization of 3666 in exponential form is:

3666 = 21×31×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3660 and 3666.

LCM(3660,3666) = 22×31×51×131×471×611
LCM(3660,3666) = 2236260

Factors of 3660

List of positive integer factors of 3660 that divides 3660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830, 3660

Factors of 3666

List of positive integer factors of 3666 that divides 3666 without a remainder.

1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666

Least Common Multiple of 3660 and 3666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3660 and 3666, than apply into the LCM equation.

GCF(3660,3666) = 6
LCM(3660,3666) = ( 3660 × 3666) / 6
LCM(3660,3666) = 13417560 / 6
LCM(3660,3666) = 2236260

Properties of LCM 3660 and 3666

(i) The LCM of 3666 and 3660 is associative

LCM of 3660 and 3666 = LCM of 3666 and 3660

Related Least Common Multiples of 3660

Related Least Common Multiples of 3666

Frequently Asked Questions on LCM of 3660 and 3666

1. What is the LCM of 3660 and 3666?

Answer: LCM of 3660 and 3666 is 2236260.

2. What are the Factors of 3660?

Answer: Factors of 3660 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830, 3660. There are 24 integers that are factors of 3660. The greatest factor of 3660 is 3660.

3. What are the Factors of 3666?

Answer: Factors of 3666 are 1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666. There are 16 integers that are factors of 3666. The greatest factor of 3666 is 3666.

4. How to Find the LCM of 3660 and 3666?

Answer:

Least Common Multiple of 3660 and 3666 = 2236260

Step 1: Find the prime factorization of 3660

3660 = 2 x 2 x 3 x 5 x 61

Step 2: Find the prime factorization of 3666

3666 = 2 x 3 x 13 x 47

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

LCM = 2236260 = 2 x 2 x 3 x 5 x 13 x 47 x 61

Step 4: Therefore, the least common multiple of 3660 and 3666 is 2236260.