Least Common Multiple of 1666 and 1674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1666 and 1674 the smallest integer that is 1394442 that is divisible by both numbers.

Least Common Multiple (LCM) of 1666 and 1674 is 1394442.

LCM(1666,1674) = 1394442

LCM of 1666 and 1674

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

LCM of:
and

Least Common Multiple of 1666 and 1674

LCM of 1666 and 1674 is 1394442

Least common multiple can be found by multiplying the highest exponent prime factors of 1666 and 1674. First we will calculate the prime factors of 1666 and 1674.

Prime Factorization of 1666


2 1666
7 833
7 119
17 17
1

Prime factors of 1666 are 2, 7,17. Prime factorization of 1666 in exponential form is:

1666 = 21×72×171

Prime Factorization of 1674


2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 1674 are 2, 3,31. Prime factorization of 1674 in exponential form is:

1674 = 21×33×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1666 and 1674.

LCM(1666,1674) = 21×33×72×171×311
LCM(1666,1674) = 1394442

Factors of 1666

List of positive integer factors of 1666 that divides 1666 without a remainder.

1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666

Factors of 1674

List of positive integer factors of 1674 that divides 1674 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674

Least Common Multiple of 1666 and 1674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1666 and 1674, than apply into the LCM equation.

GCF(1666,1674) = 2
LCM(1666,1674) = ( 1666 × 1674) / 2
LCM(1666,1674) = 2788884 / 2
LCM(1666,1674) = 1394442

Properties of LCM 1666 and 1674

(i) The LCM of 1674 and 1666 is associative

LCM of 1666 and 1674 = LCM of 1674 and 1666

Related Least Common Multiples of 1666

Related Least Common Multiples of 1674

Frequently Asked Questions on LCM of 1666 and 1674

1. What is the LCM of 1666 and 1674?

Answer: LCM of 1666 and 1674 is 1394442.

2. What are the Factors of 1666?

Answer: Factors of 1666 are 1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666. There are 12 integers that are factors of 1666. The greatest factor of 1666 is 1666.

3. What are the Factors of 1674?

Answer: Factors of 1674 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674. There are 16 integers that are factors of 1674. The greatest factor of 1674 is 1674.

4. How to Find the LCM of 1666 and 1674?

Answer:

Least Common Multiple of 1666 and 1674 = 1394442

Step 1: Find the prime factorization of 1666

1666 = 2 x 7 x 7 x 17

Step 2: Find the prime factorization of 1674

1674 = 2 x 3 x 3 x 3 x 31

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

LCM = 1394442 = 2 x 3 x 3 x 3 x 7 x 7 x 17 x 31

Step 4: Therefore, the least common multiple of 1666 and 1674 is 1394442.