Least Common Multiple of 1655 and 1660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1655 and 1660 the smallest integer that is 549460 that is divisible by both numbers.

Least Common Multiple (LCM) of 1655 and 1660 is 549460.

LCM(1655,1660) = 549460

LCM of 1655 and 1660

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

LCM of:
and

Least Common Multiple of 1655 and 1660

LCM of 1655 and 1660 is 549460

Least common multiple can be found by multiplying the highest exponent prime factors of 1655 and 1660. First we will calculate the prime factors of 1655 and 1660.

Prime Factorization of 1655


5 1655
331 331
1

Prime factors of 1655 are 5,331. Prime factorization of 1655 in exponential form is:

1655 = 51×3311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1655 and 1660.

LCM(1655,1660) = 22×51×831×3311
LCM(1655,1660) = 549460

Factors of 1655

List of positive integer factors of 1655 that divides 1655 without a remainder.

1, 5, 331, 1655

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

Least Common Multiple of 1655 and 1660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1655 and 1660, than apply into the LCM equation.

GCF(1655,1660) = 5
LCM(1655,1660) = ( 1655 × 1660) / 5
LCM(1655,1660) = 2747300 / 5
LCM(1655,1660) = 549460

Properties of LCM 1655 and 1660

(i) The LCM of 1660 and 1655 is associative

LCM of 1655 and 1660 = LCM of 1660 and 1655

Related Least Common Multiples of 1655

Related Least Common Multiples of 1660

Frequently Asked Questions on LCM of 1655 and 1660

1. What is the LCM of 1655 and 1660?

Answer: LCM of 1655 and 1660 is 549460.

2. What are the Factors of 1655?

Answer: Factors of 1655 are 1, 5, 331, 1655. There are 4 integers that are factors of 1655. The greatest factor of 1655 is 1655.

3. 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.

4. How to Find the LCM of 1655 and 1660?

Answer:

Least Common Multiple of 1655 and 1660 = 549460

Step 1: Find the prime factorization of 1655

1655 = 5 x 331

Step 2: Find the prime factorization of 1660

1660 = 2 x 2 x 5 x 83

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

LCM = 549460 = 2 x 2 x 5 x 83 x 331

Step 4: Therefore, the least common multiple of 1655 and 1660 is 549460.