Least Common Multiple of 2640 and 2646

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 2646 the smallest integer that is 1164240 that is divisible by both numbers.

Least Common Multiple (LCM) of 2640 and 2646 is 1164240.

LCM(2640,2646) = 1164240

LCM of 2640 and 2646

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

LCM of:
and

Least Common Multiple of 2640 and 2646

LCM of 2640 and 2646 is 1164240

Least common multiple can be found by multiplying the highest exponent prime factors of 2640 and 2646. First we will calculate the prime factors of 2640 and 2646.

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 2646


2 2646
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 2646 are 2, 3,7. Prime factorization of 2646 in exponential form is:

2646 = 21×33×72

Now multiplying the highest exponent prime factors to calculate the LCM of 2640 and 2646.

LCM(2640,2646) = 24×33×51×72×111
LCM(2640,2646) = 1164240

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 2646

List of positive integer factors of 2646 that divides 2646 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646

Least Common Multiple of 2640 and 2646 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 2646, than apply into the LCM equation.

GCF(2640,2646) = 6
LCM(2640,2646) = ( 2640 × 2646) / 6
LCM(2640,2646) = 6985440 / 6
LCM(2640,2646) = 1164240

Properties of LCM 2640 and 2646

(i) The LCM of 2646 and 2640 is associative

LCM of 2640 and 2646 = LCM of 2646 and 2640

Related Least Common Multiples of 2640

Related Least Common Multiples of 2646

Frequently Asked Questions on LCM of 2640 and 2646

1. What is the LCM of 2640 and 2646?

Answer: LCM of 2640 and 2646 is 1164240.

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 2646?

Answer: Factors of 2646 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646. There are 24 integers that are factors of 2646. The greatest factor of 2646 is 2646.

4. How to Find the LCM of 2640 and 2646?

Answer:

Least Common Multiple of 2640 and 2646 = 1164240

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 2646

2646 = 2 x 3 x 3 x 3 x 7 x 7

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

LCM = 1164240 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 2640 and 2646 is 1164240.