Least Common Multiple of 1658 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 1658 and 1665 the smallest integer that is 2760570 that is divisible by both numbers.

Least Common Multiple (LCM) of 1658 and 1665 is 2760570.

LCM(1658,1665) = 2760570

LCM of 1658 and 1665

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

LCM of:
and

Least Common Multiple of 1658 and 1665

LCM of 1658 and 1665 is 2760570

Least common multiple can be found by multiplying the highest exponent prime factors of 1658 and 1665. First we will calculate the prime factors of 1658 and 1665.

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 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 1658 and 1665.

LCM(1658,1665) = 21×32×51×371×8291
LCM(1658,1665) = 2760570

Factors of 1658

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

1, 2, 829, 1658

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 1658 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 1658 and 1665, than apply into the LCM equation.

GCF(1658,1665) = 1
LCM(1658,1665) = ( 1658 × 1665) / 1
LCM(1658,1665) = 2760570 / 1
LCM(1658,1665) = 2760570

Properties of LCM 1658 and 1665

(i) The LCM of 1665 and 1658 is associative

LCM of 1658 and 1665 = LCM of 1665 and 1658

Related Least Common Multiples of 1658

Related Least Common Multiples of 1665

Frequently Asked Questions on LCM of 1658 and 1665

1. What is the LCM of 1658 and 1665?

Answer: LCM of 1658 and 1665 is 2760570.

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 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 1658 and 1665?

Answer:

Least Common Multiple of 1658 and 1665 = 2760570

Step 1: Find the prime factorization of 1658

1658 = 2 x 829

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 = 2760570 = 2 x 3 x 3 x 5 x 37 x 829

Step 4: Therefore, the least common multiple of 1658 and 1665 is 2760570.