Least Common Multiple of 1659 and 1663

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 1663 the smallest integer that is 2758917 that is divisible by both numbers.

Least Common Multiple (LCM) of 1659 and 1663 is 2758917.

LCM(1659,1663) = 2758917

LCM of 1659 and 1663

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

LCM of:
and

Least Common Multiple of 1659 and 1663

LCM of 1659 and 1663 is 2758917

Least common multiple can be found by multiplying the highest exponent prime factors of 1659 and 1663. First we will calculate the prime factors of 1659 and 1663.

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 1663


1663 1663
1

Prime factors of 1663 are 1663. Prime factorization of 1663 in exponential form is:

1663 = 16631

Now multiplying the highest exponent prime factors to calculate the LCM of 1659 and 1663.

LCM(1659,1663) = 31×71×791×16631
LCM(1659,1663) = 2758917

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 1663

List of positive integer factors of 1663 that divides 1663 without a remainder.

1, 1663

Least Common Multiple of 1659 and 1663 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 1663, than apply into the LCM equation.

GCF(1659,1663) = 1
LCM(1659,1663) = ( 1659 × 1663) / 1
LCM(1659,1663) = 2758917 / 1
LCM(1659,1663) = 2758917

Properties of LCM 1659 and 1663

(i) The LCM of 1663 and 1659 is associative

LCM of 1659 and 1663 = LCM of 1663 and 1659

Related Least Common Multiples of 1659

Related Least Common Multiples of 1663

Frequently Asked Questions on LCM of 1659 and 1663

1. What is the LCM of 1659 and 1663?

Answer: LCM of 1659 and 1663 is 2758917.

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 1663?

Answer: Factors of 1663 are 1, 1663. There are 2 integers that are factors of 1663. The greatest factor of 1663 is 1663.

4. How to Find the LCM of 1659 and 1663?

Answer:

Least Common Multiple of 1659 and 1663 = 2758917

Step 1: Find the prime factorization of 1659

1659 = 3 x 7 x 79

Step 2: Find the prime factorization of 1663

1663 = 1663

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

LCM = 2758917 = 3 x 7 x 79 x 1663

Step 4: Therefore, the least common multiple of 1659 and 1663 is 2758917.