Least Common Multiple of 1658 and 1659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1658 and 1659 the smallest integer that is 2750622 that is divisible by both numbers.

Least Common Multiple (LCM) of 1658 and 1659 is 2750622.

LCM(1658,1659) = 2750622

LCM of 1658 and 1659

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

LCM of:
and

Least Common Multiple of 1658 and 1659

LCM of 1658 and 1659 is 2750622

Least common multiple can be found by multiplying the highest exponent prime factors of 1658 and 1659. First we will calculate the prime factors of 1658 and 1659.

Prime Factorization of 1658


2 1658
829 829
1

Prime factors of 1658 are 2,829. Prime factorization of 1658 in exponential form is:

1658 = 21×8291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1658 and 1659.

LCM(1658,1659) = 21×31×71×791×8291
LCM(1658,1659) = 2750622

Factors of 1658

List of positive integer factors of 1658 that divides 1658 without a remainder.

1, 2, 829, 1658

Factors of 1659

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

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

Least Common Multiple of 1658 and 1659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1658 and 1659, than apply into the LCM equation.

GCF(1658,1659) = 1
LCM(1658,1659) = ( 1658 × 1659) / 1
LCM(1658,1659) = 2750622 / 1
LCM(1658,1659) = 2750622

Properties of LCM 1658 and 1659

(i) The LCM of 1659 and 1658 is associative

LCM of 1658 and 1659 = LCM of 1659 and 1658

Related Least Common Multiples of 1658

Related Least Common Multiples of 1659

Frequently Asked Questions on LCM of 1658 and 1659

1. What is the LCM of 1658 and 1659?

Answer: LCM of 1658 and 1659 is 2750622.

2. What are the Factors of 1658?

Answer: Factors of 1658 are 1, 2, 829, 1658. There are 4 integers that are factors of 1658. The greatest factor of 1658 is 1658.

3. 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.

4. How to Find the LCM of 1658 and 1659?

Answer:

Least Common Multiple of 1658 and 1659 = 2750622

Step 1: Find the prime factorization of 1658

1658 = 2 x 829

Step 2: Find the prime factorization of 1659

1659 = 3 x 7 x 79

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

LCM = 2750622 = 2 x 3 x 7 x 79 x 829

Step 4: Therefore, the least common multiple of 1658 and 1659 is 2750622.