Least Common Multiple of 1659 and 1667

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 1667 the smallest integer that is 2765553 that is divisible by both numbers.

Least Common Multiple (LCM) of 1659 and 1667 is 2765553.

LCM(1659,1667) = 2765553

LCM of 1659 and 1667

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

LCM of:
and

Least Common Multiple of 1659 and 1667

LCM of 1659 and 1667 is 2765553

Least common multiple can be found by multiplying the highest exponent prime factors of 1659 and 1667. First we will calculate the prime factors of 1659 and 1667.

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 1667


1667 1667
1

Prime factors of 1667 are 1667. Prime factorization of 1667 in exponential form is:

1667 = 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 1659 and 1667.

LCM(1659,1667) = 31×71×791×16671
LCM(1659,1667) = 2765553

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 1667

List of positive integer factors of 1667 that divides 1667 without a remainder.

1, 1667

Least Common Multiple of 1659 and 1667 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 1667, than apply into the LCM equation.

GCF(1659,1667) = 1
LCM(1659,1667) = ( 1659 × 1667) / 1
LCM(1659,1667) = 2765553 / 1
LCM(1659,1667) = 2765553

Properties of LCM 1659 and 1667

(i) The LCM of 1667 and 1659 is associative

LCM of 1659 and 1667 = LCM of 1667 and 1659

Related Least Common Multiples of 1659

Related Least Common Multiples of 1667

Frequently Asked Questions on LCM of 1659 and 1667

1. What is the LCM of 1659 and 1667?

Answer: LCM of 1659 and 1667 is 2765553.

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 1667?

Answer: Factors of 1667 are 1, 1667. There are 2 integers that are factors of 1667. The greatest factor of 1667 is 1667.

4. How to Find the LCM of 1659 and 1667?

Answer:

Least Common Multiple of 1659 and 1667 = 2765553

Step 1: Find the prime factorization of 1659

1659 = 3 x 7 x 79

Step 2: Find the prime factorization of 1667

1667 = 1667

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

LCM = 2765553 = 3 x 7 x 79 x 1667

Step 4: Therefore, the least common multiple of 1659 and 1667 is 2765553.