Least Common Multiple of 6665 and 6670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6665 and 6670 the smallest integer that is 8891110 that is divisible by both numbers.

Least Common Multiple (LCM) of 6665 and 6670 is 8891110.

LCM(6665,6670) = 8891110

LCM of 6665 and 6670

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

LCM of:
and

Least Common Multiple of 6665 and 6670

LCM of 6665 and 6670 is 8891110

Least common multiple can be found by multiplying the highest exponent prime factors of 6665 and 6670. First we will calculate the prime factors of 6665 and 6670.

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

Prime Factorization of 6670


2 6670
5 3335
23 667
29 29
1

Prime factors of 6670 are 2, 5, 23,29. Prime factorization of 6670 in exponential form is:

6670 = 21×51×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6665 and 6670.

LCM(6665,6670) = 21×51×231×291×311×431
LCM(6665,6670) = 8891110

Factors of 6665

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

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

Factors of 6670

List of positive integer factors of 6670 that divides 6670 without a remainder.

1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670

Least Common Multiple of 6665 and 6670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6665 and 6670, than apply into the LCM equation.

GCF(6665,6670) = 5
LCM(6665,6670) = ( 6665 × 6670) / 5
LCM(6665,6670) = 44455550 / 5
LCM(6665,6670) = 8891110

Properties of LCM 6665 and 6670

(i) The LCM of 6670 and 6665 is associative

LCM of 6665 and 6670 = LCM of 6670 and 6665

Related Least Common Multiples of 6665

Related Least Common Multiples of 6670

Frequently Asked Questions on LCM of 6665 and 6670

1. What is the LCM of 6665 and 6670?

Answer: LCM of 6665 and 6670 is 8891110.

2. 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.

3. What are the Factors of 6670?

Answer: Factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670. There are 16 integers that are factors of 6670. The greatest factor of 6670 is 6670.

4. How to Find the LCM of 6665 and 6670?

Answer:

Least Common Multiple of 6665 and 6670 = 8891110

Step 1: Find the prime factorization of 6665

6665 = 5 x 31 x 43

Step 2: Find the prime factorization of 6670

6670 = 2 x 5 x 23 x 29

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

LCM = 8891110 = 2 x 5 x 23 x 29 x 31 x 43

Step 4: Therefore, the least common multiple of 6665 and 6670 is 8891110.