Least Common Multiple of 2640 and 2644

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 2644 the smallest integer that is 1745040 that is divisible by both numbers.

Least Common Multiple (LCM) of 2640 and 2644 is 1745040.

LCM(2640,2644) = 1745040

LCM of 2640 and 2644

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

LCM of:
and

Least Common Multiple of 2640 and 2644

LCM of 2640 and 2644 is 1745040

Least common multiple can be found by multiplying the highest exponent prime factors of 2640 and 2644. First we will calculate the prime factors of 2640 and 2644.

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 2644


2 2644
2 1322
661 661
1

Prime factors of 2644 are 2,661. Prime factorization of 2644 in exponential form is:

2644 = 22×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 2640 and 2644.

LCM(2640,2644) = 24×31×51×111×6611
LCM(2640,2644) = 1745040

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 2644

List of positive integer factors of 2644 that divides 2644 without a remainder.

1, 2, 4, 661, 1322, 2644

Least Common Multiple of 2640 and 2644 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 2644, than apply into the LCM equation.

GCF(2640,2644) = 4
LCM(2640,2644) = ( 2640 × 2644) / 4
LCM(2640,2644) = 6980160 / 4
LCM(2640,2644) = 1745040

Properties of LCM 2640 and 2644

(i) The LCM of 2644 and 2640 is associative

LCM of 2640 and 2644 = LCM of 2644 and 2640

Related Least Common Multiples of 2640

Related Least Common Multiples of 2644

Frequently Asked Questions on LCM of 2640 and 2644

1. What is the LCM of 2640 and 2644?

Answer: LCM of 2640 and 2644 is 1745040.

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 2644?

Answer: Factors of 2644 are 1, 2, 4, 661, 1322, 2644. There are 6 integers that are factors of 2644. The greatest factor of 2644 is 2644.

4. How to Find the LCM of 2640 and 2644?

Answer:

Least Common Multiple of 2640 and 2644 = 1745040

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 2644

2644 = 2 x 2 x 661

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

LCM = 1745040 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 661

Step 4: Therefore, the least common multiple of 2640 and 2644 is 1745040.