Least Common Multiple of 3666 and 3673

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 3673 the smallest integer that is 13465218 that is divisible by both numbers.

Least Common Multiple (LCM) of 3666 and 3673 is 13465218.

LCM(3666,3673) = 13465218

LCM of 3666 and 3673

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

LCM of:
and

Least Common Multiple of 3666 and 3673

LCM of 3666 and 3673 is 13465218

Least common multiple can be found by multiplying the highest exponent prime factors of 3666 and 3673. First we will calculate the prime factors of 3666 and 3673.

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 3673


3673 3673
1

Prime factors of 3673 are 3673. Prime factorization of 3673 in exponential form is:

3673 = 36731

Now multiplying the highest exponent prime factors to calculate the LCM of 3666 and 3673.

LCM(3666,3673) = 21×31×131×471×36731
LCM(3666,3673) = 13465218

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 3673

List of positive integer factors of 3673 that divides 3673 without a remainder.

1, 3673

Least Common Multiple of 3666 and 3673 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 3673, than apply into the LCM equation.

GCF(3666,3673) = 1
LCM(3666,3673) = ( 3666 × 3673) / 1
LCM(3666,3673) = 13465218 / 1
LCM(3666,3673) = 13465218

Properties of LCM 3666 and 3673

(i) The LCM of 3673 and 3666 is associative

LCM of 3666 and 3673 = LCM of 3673 and 3666

Related Least Common Multiples of 3666

Related Least Common Multiples of 3673

Frequently Asked Questions on LCM of 3666 and 3673

1. What is the LCM of 3666 and 3673?

Answer: LCM of 3666 and 3673 is 13465218.

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 3673?

Answer: Factors of 3673 are 1, 3673. There are 2 integers that are factors of 3673. The greatest factor of 3673 is 3673.

4. How to Find the LCM of 3666 and 3673?

Answer:

Least Common Multiple of 3666 and 3673 = 13465218

Step 1: Find the prime factorization of 3666

3666 = 2 x 3 x 13 x 47

Step 2: Find the prime factorization of 3673

3673 = 3673

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

LCM = 13465218 = 2 x 3 x 13 x 47 x 3673

Step 4: Therefore, the least common multiple of 3666 and 3673 is 13465218.