Least Common Multiple of 3666 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 3666 and 3672 the smallest integer that is 2243592 that is divisible by both numbers.

Least Common Multiple (LCM) of 3666 and 3672 is 2243592.

LCM(3666,3672) = 2243592

LCM of 3666 and 3672

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

LCM of:
and

Least Common Multiple of 3666 and 3672

LCM of 3666 and 3672 is 2243592

Least common multiple can be found by multiplying the highest exponent prime factors of 3666 and 3672. First we will calculate the prime factors of 3666 and 3672.

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

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 3666 and 3672.

LCM(3666,3672) = 23×33×131×171×471
LCM(3666,3672) = 2243592

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

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 3666 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 3666 and 3672, than apply into the LCM equation.

GCF(3666,3672) = 6
LCM(3666,3672) = ( 3666 × 3672) / 6
LCM(3666,3672) = 13461552 / 6
LCM(3666,3672) = 2243592

Properties of LCM 3666 and 3672

(i) The LCM of 3672 and 3666 is associative

LCM of 3666 and 3672 = LCM of 3672 and 3666

Related Least Common Multiples of 3666

Related Least Common Multiples of 3672

Frequently Asked Questions on LCM of 3666 and 3672

1. What is the LCM of 3666 and 3672?

Answer: LCM of 3666 and 3672 is 2243592.

2. 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.

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 3666 and 3672?

Answer:

Least Common Multiple of 3666 and 3672 = 2243592

Step 1: Find the prime factorization of 3666

3666 = 2 x 3 x 13 x 47

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 = 2243592 = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 17 x 47

Step 4: Therefore, the least common multiple of 3666 and 3672 is 2243592.