Least Common Multiple of 1659 and 1665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1659 and 1665 the smallest integer that is 920745 that is divisible by both numbers.

Least Common Multiple (LCM) of 1659 and 1665 is 920745.

LCM(1659,1665) = 920745

LCM of 1659 and 1665

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

LCM of:
and

Least Common Multiple of 1659 and 1665

LCM of 1659 and 1665 is 920745

Least common multiple can be found by multiplying the highest exponent prime factors of 1659 and 1665. First we will calculate the prime factors of 1659 and 1665.

Prime Factorization of 1659


3 1659
7 553
79 79
1

Prime factors of 1659 are 3, 7,79. Prime factorization of 1659 in exponential form is:

1659 = 31×71×791

Prime Factorization of 1665


3 1665
3 555
5 185
37 37
1

Prime factors of 1665 are 3, 5,37. Prime factorization of 1665 in exponential form is:

1665 = 32×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1659 and 1665.

LCM(1659,1665) = 32×51×71×371×791
LCM(1659,1665) = 920745

Factors of 1659

List of positive integer factors of 1659 that divides 1659 without a remainder.

1, 3, 7, 21, 79, 237, 553, 1659

Factors of 1665

List of positive integer factors of 1665 that divides 1665 without a remainder.

1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, 1665

Least Common Multiple of 1659 and 1665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1659 and 1665, than apply into the LCM equation.

GCF(1659,1665) = 3
LCM(1659,1665) = ( 1659 × 1665) / 3
LCM(1659,1665) = 2762235 / 3
LCM(1659,1665) = 920745

Properties of LCM 1659 and 1665

(i) The LCM of 1665 and 1659 is associative

LCM of 1659 and 1665 = LCM of 1665 and 1659

Related Least Common Multiples of 1659

Related Least Common Multiples of 1665

Frequently Asked Questions on LCM of 1659 and 1665

1. What is the LCM of 1659 and 1665?

Answer: LCM of 1659 and 1665 is 920745.

2. What are the Factors of 1659?

Answer: Factors of 1659 are 1, 3, 7, 21, 79, 237, 553, 1659. There are 8 integers that are factors of 1659. The greatest factor of 1659 is 1659.

3. What are the Factors of 1665?

Answer: Factors of 1665 are 1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, 1665. There are 12 integers that are factors of 1665. The greatest factor of 1665 is 1665.

4. How to Find the LCM of 1659 and 1665?

Answer:

Least Common Multiple of 1659 and 1665 = 920745

Step 1: Find the prime factorization of 1659

1659 = 3 x 7 x 79

Step 2: Find the prime factorization of 1665

1665 = 3 x 3 x 5 x 37

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

LCM = 920745 = 3 x 3 x 5 x 7 x 37 x 79

Step 4: Therefore, the least common multiple of 1659 and 1665 is 920745.