Least Common Multiple of 2660 and 2664

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 2664 the smallest integer that is 1771560 that is divisible by both numbers.

Least Common Multiple (LCM) of 2660 and 2664 is 1771560.

LCM(2660,2664) = 1771560

LCM of 2660 and 2664

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

LCM of:
and

Least Common Multiple of 2660 and 2664

LCM of 2660 and 2664 is 1771560

Least common multiple can be found by multiplying the highest exponent prime factors of 2660 and 2664. First we will calculate the prime factors of 2660 and 2664.

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 2664


2 2664
2 1332
2 666
3 333
3 111
37 37
1

Prime factors of 2664 are 2, 3,37. Prime factorization of 2664 in exponential form is:

2664 = 23×32×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2660 and 2664.

LCM(2660,2664) = 23×32×51×71×191×371
LCM(2660,2664) = 1771560

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 2664

List of positive integer factors of 2664 that divides 2664 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664

Least Common Multiple of 2660 and 2664 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 2664, than apply into the LCM equation.

GCF(2660,2664) = 4
LCM(2660,2664) = ( 2660 × 2664) / 4
LCM(2660,2664) = 7086240 / 4
LCM(2660,2664) = 1771560

Properties of LCM 2660 and 2664

(i) The LCM of 2664 and 2660 is associative

LCM of 2660 and 2664 = LCM of 2664 and 2660

Related Least Common Multiples of 2660

Related Least Common Multiples of 2664

Frequently Asked Questions on LCM of 2660 and 2664

1. What is the LCM of 2660 and 2664?

Answer: LCM of 2660 and 2664 is 1771560.

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 2664?

Answer: Factors of 2664 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664. There are 24 integers that are factors of 2664. The greatest factor of 2664 is 2664.

4. How to Find the LCM of 2660 and 2664?

Answer:

Least Common Multiple of 2660 and 2664 = 1771560

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 2664

2664 = 2 x 2 x 2 x 3 x 3 x 37

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

LCM = 1771560 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 19 x 37

Step 4: Therefore, the least common multiple of 2660 and 2664 is 1771560.