Least Common Multiple of 6660 and 6665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6660 and 6665 the smallest integer that is 8877780 that is divisible by both numbers.

Least Common Multiple (LCM) of 6660 and 6665 is 8877780.

LCM(6660,6665) = 8877780

LCM of 6660 and 6665

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

LCM of:
and

Least Common Multiple of 6660 and 6665

LCM of 6660 and 6665 is 8877780

Least common multiple can be found by multiplying the highest exponent prime factors of 6660 and 6665. First we will calculate the prime factors of 6660 and 6665.

Prime Factorization of 6660


2 6660
2 3330
3 1665
3 555
5 185
37 37
1

Prime factors of 6660 are 2, 3, 5,37. Prime factorization of 6660 in exponential form is:

6660 = 22×32×51×371

Prime Factorization of 6665


5 6665
31 1333
43 43
1

Prime factors of 6665 are 5, 31,43. Prime factorization of 6665 in exponential form is:

6665 = 51×311×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6660 and 6665.

LCM(6660,6665) = 22×32×51×311×371×431
LCM(6660,6665) = 8877780

Factors of 6660

List of positive integer factors of 6660 that divides 6660 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 37, 45, 60, 74, 90, 111, 148, 180, 185, 222, 333, 370, 444, 555, 666, 740, 1110, 1332, 1665, 2220, 3330, 6660

Factors of 6665

List of positive integer factors of 6665 that divides 6665 without a remainder.

1, 5, 31, 43, 155, 215, 1333, 6665

Least Common Multiple of 6660 and 6665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6660 and 6665, than apply into the LCM equation.

GCF(6660,6665) = 5
LCM(6660,6665) = ( 6660 × 6665) / 5
LCM(6660,6665) = 44388900 / 5
LCM(6660,6665) = 8877780

Properties of LCM 6660 and 6665

(i) The LCM of 6665 and 6660 is associative

LCM of 6660 and 6665 = LCM of 6665 and 6660

Related Least Common Multiples of 6660

Related Least Common Multiples of 6665

Frequently Asked Questions on LCM of 6660 and 6665

1. What is the LCM of 6660 and 6665?

Answer: LCM of 6660 and 6665 is 8877780.

2. What are the Factors of 6660?

Answer: Factors of 6660 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 37, 45, 60, 74, 90, 111, 148, 180, 185, 222, 333, 370, 444, 555, 666, 740, 1110, 1332, 1665, 2220, 3330, 6660. There are 36 integers that are factors of 6660. The greatest factor of 6660 is 6660.

3. What are the Factors of 6665?

Answer: Factors of 6665 are 1, 5, 31, 43, 155, 215, 1333, 6665. There are 8 integers that are factors of 6665. The greatest factor of 6665 is 6665.

4. How to Find the LCM of 6660 and 6665?

Answer:

Least Common Multiple of 6660 and 6665 = 8877780

Step 1: Find the prime factorization of 6660

6660 = 2 x 2 x 3 x 3 x 5 x 37

Step 2: Find the prime factorization of 6665

6665 = 5 x 31 x 43

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

LCM = 8877780 = 2 x 2 x 3 x 3 x 5 x 31 x 37 x 43

Step 4: Therefore, the least common multiple of 6660 and 6665 is 8877780.