Least Common Multiple of 1660 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 1660 and 1665 the smallest integer that is 552780 that is divisible by both numbers.

Least Common Multiple (LCM) of 1660 and 1665 is 552780.

LCM(1660,1665) = 552780

LCM of 1660 and 1665

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

LCM of:
and

Least Common Multiple of 1660 and 1665

LCM of 1660 and 1665 is 552780

Least common multiple can be found by multiplying the highest exponent prime factors of 1660 and 1665. First we will calculate the prime factors of 1660 and 1665.

Prime Factorization of 1660


2 1660
2 830
5 415
83 83
1

Prime factors of 1660 are 2, 5,83. Prime factorization of 1660 in exponential form is:

1660 = 22×51×831

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 1660 and 1665.

LCM(1660,1665) = 22×32×51×371×831
LCM(1660,1665) = 552780

Factors of 1660

List of positive integer factors of 1660 that divides 1660 without a remainder.

1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660

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 1660 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 1660 and 1665, than apply into the LCM equation.

GCF(1660,1665) = 5
LCM(1660,1665) = ( 1660 × 1665) / 5
LCM(1660,1665) = 2763900 / 5
LCM(1660,1665) = 552780

Properties of LCM 1660 and 1665

(i) The LCM of 1665 and 1660 is associative

LCM of 1660 and 1665 = LCM of 1665 and 1660

Related Least Common Multiples of 1660

Related Least Common Multiples of 1665

Frequently Asked Questions on LCM of 1660 and 1665

1. What is the LCM of 1660 and 1665?

Answer: LCM of 1660 and 1665 is 552780.

2. What are the Factors of 1660?

Answer: Factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660. There are 12 integers that are factors of 1660. The greatest factor of 1660 is 1660.

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 1660 and 1665?

Answer:

Least Common Multiple of 1660 and 1665 = 552780

Step 1: Find the prime factorization of 1660

1660 = 2 x 2 x 5 x 83

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 = 552780 = 2 x 2 x 3 x 3 x 5 x 37 x 83

Step 4: Therefore, the least common multiple of 1660 and 1665 is 552780.