Least Common Multiple of 2660 and 2668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2660 and 2668 the smallest integer that is 1774220 that is divisible by both numbers.

Least Common Multiple (LCM) of 2660 and 2668 is 1774220.

LCM(2660,2668) = 1774220

LCM of 2660 and 2668

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

LCM of:
and

Least Common Multiple of 2660 and 2668

LCM of 2660 and 2668 is 1774220

Least common multiple can be found by multiplying the highest exponent prime factors of 2660 and 2668. First we will calculate the prime factors of 2660 and 2668.

Prime Factorization of 2660


2 2660
2 1330
5 665
7 133
19 19
1

Prime factors of 2660 are 2, 5, 7,19. Prime factorization of 2660 in exponential form is:

2660 = 22×51×71×191

Prime Factorization of 2668


2 2668
2 1334
23 667
29 29
1

Prime factors of 2668 are 2, 23,29. Prime factorization of 2668 in exponential form is:

2668 = 22×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2660 and 2668.

LCM(2660,2668) = 22×51×71×191×231×291
LCM(2660,2668) = 1774220

Factors of 2660

List of positive integer factors of 2660 that divides 2660 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660

Factors of 2668

List of positive integer factors of 2668 that divides 2668 without a remainder.

1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334, 2668

Least Common Multiple of 2660 and 2668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2660 and 2668, than apply into the LCM equation.

GCF(2660,2668) = 4
LCM(2660,2668) = ( 2660 × 2668) / 4
LCM(2660,2668) = 7096880 / 4
LCM(2660,2668) = 1774220

Properties of LCM 2660 and 2668

(i) The LCM of 2668 and 2660 is associative

LCM of 2660 and 2668 = LCM of 2668 and 2660

Related Least Common Multiples of 2660

Related Least Common Multiples of 2668

Frequently Asked Questions on LCM of 2660 and 2668

1. What is the LCM of 2660 and 2668?

Answer: LCM of 2660 and 2668 is 1774220.

2. What are the Factors of 2660?

Answer: Factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660. There are 24 integers that are factors of 2660. The greatest factor of 2660 is 2660.

3. What are the Factors of 2668?

Answer: Factors of 2668 are 1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334, 2668. There are 12 integers that are factors of 2668. The greatest factor of 2668 is 2668.

4. How to Find the LCM of 2660 and 2668?

Answer:

Least Common Multiple of 2660 and 2668 = 1774220

Step 1: Find the prime factorization of 2660

2660 = 2 x 2 x 5 x 7 x 19

Step 2: Find the prime factorization of 2668

2668 = 2 x 2 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 = 1774220 = 2 x 2 x 5 x 7 x 19 x 23 x 29

Step 4: Therefore, the least common multiple of 2660 and 2668 is 1774220.