Least Common Multiple of 3666 and 3674

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 3674 the smallest integer that is 6734442 that is divisible by both numbers.

Least Common Multiple (LCM) of 3666 and 3674 is 6734442.

LCM(3666,3674) = 6734442

LCM of 3666 and 3674

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

LCM of:
and

Least Common Multiple of 3666 and 3674

LCM of 3666 and 3674 is 6734442

Least common multiple can be found by multiplying the highest exponent prime factors of 3666 and 3674. First we will calculate the prime factors of 3666 and 3674.

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 3674


2 3674
11 1837
167 167
1

Prime factors of 3674 are 2, 11,167. Prime factorization of 3674 in exponential form is:

3674 = 21×111×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 3666 and 3674.

LCM(3666,3674) = 21×31×111×131×471×1671
LCM(3666,3674) = 6734442

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 3674

List of positive integer factors of 3674 that divides 3674 without a remainder.

1, 2, 11, 22, 167, 334, 1837, 3674

Least Common Multiple of 3666 and 3674 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 3674, than apply into the LCM equation.

GCF(3666,3674) = 2
LCM(3666,3674) = ( 3666 × 3674) / 2
LCM(3666,3674) = 13468884 / 2
LCM(3666,3674) = 6734442

Properties of LCM 3666 and 3674

(i) The LCM of 3674 and 3666 is associative

LCM of 3666 and 3674 = LCM of 3674 and 3666

Related Least Common Multiples of 3666

Related Least Common Multiples of 3674

Frequently Asked Questions on LCM of 3666 and 3674

1. What is the LCM of 3666 and 3674?

Answer: LCM of 3666 and 3674 is 6734442.

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 3674?

Answer: Factors of 3674 are 1, 2, 11, 22, 167, 334, 1837, 3674. There are 8 integers that are factors of 3674. The greatest factor of 3674 is 3674.

4. How to Find the LCM of 3666 and 3674?

Answer:

Least Common Multiple of 3666 and 3674 = 6734442

Step 1: Find the prime factorization of 3666

3666 = 2 x 3 x 13 x 47

Step 2: Find the prime factorization of 3674

3674 = 2 x 11 x 167

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

LCM = 6734442 = 2 x 3 x 11 x 13 x 47 x 167

Step 4: Therefore, the least common multiple of 3666 and 3674 is 6734442.