Least Common Multiple of 2640 and 2647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2640 and 2647 the smallest integer that is 6988080 that is divisible by both numbers.

Least Common Multiple (LCM) of 2640 and 2647 is 6988080.

LCM(2640,2647) = 6988080

LCM of 2640 and 2647

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

LCM of:
and

Least Common Multiple of 2640 and 2647

LCM of 2640 and 2647 is 6988080

Least common multiple can be found by multiplying the highest exponent prime factors of 2640 and 2647. First we will calculate the prime factors of 2640 and 2647.

Prime Factorization of 2640


2 2640
2 1320
2 660
2 330
3 165
5 55
11 11
1

Prime factors of 2640 are 2, 3, 5,11. Prime factorization of 2640 in exponential form is:

2640 = 24×31×51×111

Prime Factorization of 2647


2647 2647
1

Prime factors of 2647 are 2647. Prime factorization of 2647 in exponential form is:

2647 = 26471

Now multiplying the highest exponent prime factors to calculate the LCM of 2640 and 2647.

LCM(2640,2647) = 24×31×51×111×26471
LCM(2640,2647) = 6988080

Factors of 2640

List of positive integer factors of 2640 that divides 2640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640

Factors of 2647

List of positive integer factors of 2647 that divides 2647 without a remainder.

1, 2647

Least Common Multiple of 2640 and 2647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2640 and 2647, than apply into the LCM equation.

GCF(2640,2647) = 1
LCM(2640,2647) = ( 2640 × 2647) / 1
LCM(2640,2647) = 6988080 / 1
LCM(2640,2647) = 6988080

Properties of LCM 2640 and 2647

(i) The LCM of 2647 and 2640 is associative

LCM of 2640 and 2647 = LCM of 2647 and 2640

Related Least Common Multiples of 2640

Related Least Common Multiples of 2647

Frequently Asked Questions on LCM of 2640 and 2647

1. What is the LCM of 2640 and 2647?

Answer: LCM of 2640 and 2647 is 6988080.

2. What are the Factors of 2640?

Answer: Factors of 2640 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640. There are 40 integers that are factors of 2640. The greatest factor of 2640 is 2640.

3. What are the Factors of 2647?

Answer: Factors of 2647 are 1, 2647. There are 2 integers that are factors of 2647. The greatest factor of 2647 is 2647.

4. How to Find the LCM of 2640 and 2647?

Answer:

Least Common Multiple of 2640 and 2647 = 6988080

Step 1: Find the prime factorization of 2640

2640 = 2 x 2 x 2 x 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 2647

2647 = 2647

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

LCM = 6988080 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 2647

Step 4: Therefore, the least common multiple of 2640 and 2647 is 6988080.