Least Common Multiple of 655 and 660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 655 and 660 the smallest integer that is 86460 that is divisible by both numbers.

Least Common Multiple (LCM) of 655 and 660 is 86460.

LCM(655,660) = 86460

LCM of 655 and 660

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

LCM of:
and

Least Common Multiple of 655 and 660

LCM of 655 and 660 is 86460

Least common multiple can be found by multiplying the highest exponent prime factors of 655 and 660. First we will calculate the prime factors of 655 and 660.

Prime Factorization of 655


5 655
131 131
1

Prime factors of 655 are 5,131. Prime factorization of 655 in exponential form is:

655 = 51×1311

Prime Factorization of 660


2 660
2 330
3 165
5 55
11 11
1

Prime factors of 660 are 2, 3, 5,11. Prime factorization of 660 in exponential form is:

660 = 22×31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 655 and 660.

LCM(655,660) = 22×31×51×111×1311
LCM(655,660) = 86460

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Least Common Multiple of 655 and 660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 655 and 660, than apply into the LCM equation.

GCF(655,660) = 5
LCM(655,660) = ( 655 × 660) / 5
LCM(655,660) = 432300 / 5
LCM(655,660) = 86460

Properties of LCM 655 and 660

(i) The LCM of 660 and 655 is associative

LCM of 655 and 660 = LCM of 660 and 655

Related Least Common Multiples of 655

Related Least Common Multiples of 660

Frequently Asked Questions on LCM of 655 and 660

1. What is the LCM of 655 and 660?

Answer: LCM of 655 and 660 is 86460.

2. What are the Factors of 655?

Answer: Factors of 655 are 1, 5, 131, 655. There are 4 integers that are factors of 655. The greatest factor of 655 is 655.

3. What are the Factors of 660?

Answer: Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660. There are 24 integers that are factors of 660. The greatest factor of 660 is 660.

4. How to Find the LCM of 655 and 660?

Answer:

Least Common Multiple of 655 and 660 = 86460

Step 1: Find the prime factorization of 655

655 = 5 x 131

Step 2: Find the prime factorization of 660

660 = 2 x 2 x 3 x 5 x 11

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

LCM = 86460 = 2 x 2 x 3 x 5 x 11 x 131

Step 4: Therefore, the least common multiple of 655 and 660 is 86460.