Least Common Multiple of 660 and 665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 660 and 665 the smallest integer that is 87780 that is divisible by both numbers.

Least Common Multiple (LCM) of 660 and 665 is 87780.

LCM(660,665) = 87780

LCM of 660 and 665

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

LCM of:
and

Least Common Multiple of 660 and 665

LCM of 660 and 665 is 87780

Least common multiple can be found by multiplying the highest exponent prime factors of 660 and 665. First we will calculate the prime factors of 660 and 665.

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

Prime Factorization of 665


5 665
7 133
19 19
1

Prime factors of 665 are 5, 7,19. Prime factorization of 665 in exponential form is:

665 = 51×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 660 and 665.

LCM(660,665) = 22×31×51×71×111×191
LCM(660,665) = 87780

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

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Least Common Multiple of 660 and 665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 660 and 665, than apply into the LCM equation.

GCF(660,665) = 5
LCM(660,665) = ( 660 × 665) / 5
LCM(660,665) = 438900 / 5
LCM(660,665) = 87780

Properties of LCM 660 and 665

(i) The LCM of 665 and 660 is associative

LCM of 660 and 665 = LCM of 665 and 660

Related Least Common Multiples of 660

Related Least Common Multiples of 665

Frequently Asked Questions on LCM of 660 and 665

1. What is the LCM of 660 and 665?

Answer: LCM of 660 and 665 is 87780.

2. 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.

3. What are the Factors of 665?

Answer: Factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665. There are 8 integers that are factors of 665. The greatest factor of 665 is 665.

4. How to Find the LCM of 660 and 665?

Answer:

Least Common Multiple of 660 and 665 = 87780

Step 1: Find the prime factorization of 660

660 = 2 x 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 665

665 = 5 x 7 x 19

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

LCM = 87780 = 2 x 2 x 3 x 5 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 660 and 665 is 87780.