Least Common Multiple of 1666 and 1673

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 1673 the smallest integer that is 398174 that is divisible by both numbers.

Least Common Multiple (LCM) of 1666 and 1673 is 398174.

LCM(1666,1673) = 398174

LCM of 1666 and 1673

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

LCM of:
and

Least Common Multiple of 1666 and 1673

LCM of 1666 and 1673 is 398174

Least common multiple can be found by multiplying the highest exponent prime factors of 1666 and 1673. First we will calculate the prime factors of 1666 and 1673.

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 1673


7 1673
239 239
1

Prime factors of 1673 are 7,239. Prime factorization of 1673 in exponential form is:

1673 = 71×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 1666 and 1673.

LCM(1666,1673) = 21×72×171×2391
LCM(1666,1673) = 398174

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 1673

List of positive integer factors of 1673 that divides 1673 without a remainder.

1, 7, 239, 1673

Least Common Multiple of 1666 and 1673 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 1673, than apply into the LCM equation.

GCF(1666,1673) = 7
LCM(1666,1673) = ( 1666 × 1673) / 7
LCM(1666,1673) = 2787218 / 7
LCM(1666,1673) = 398174

Properties of LCM 1666 and 1673

(i) The LCM of 1673 and 1666 is associative

LCM of 1666 and 1673 = LCM of 1673 and 1666

Related Least Common Multiples of 1666

Related Least Common Multiples of 1673

Frequently Asked Questions on LCM of 1666 and 1673

1. What is the LCM of 1666 and 1673?

Answer: LCM of 1666 and 1673 is 398174.

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 1673?

Answer: Factors of 1673 are 1, 7, 239, 1673. There are 4 integers that are factors of 1673. The greatest factor of 1673 is 1673.

4. How to Find the LCM of 1666 and 1673?

Answer:

Least Common Multiple of 1666 and 1673 = 398174

Step 1: Find the prime factorization of 1666

1666 = 2 x 7 x 7 x 17

Step 2: Find the prime factorization of 1673

1673 = 7 x 239

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

LCM = 398174 = 2 x 7 x 7 x 17 x 239

Step 4: Therefore, the least common multiple of 1666 and 1673 is 398174.