Least Common Multiple of 5040 and 5044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5040 and 5044 the smallest integer that is 6355440 that is divisible by both numbers.

Least Common Multiple (LCM) of 5040 and 5044 is 6355440.

LCM(5040,5044) = 6355440

LCM of 5040 and 5044

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

LCM of:
and

Least Common Multiple of 5040 and 5044

LCM of 5040 and 5044 is 6355440

Least common multiple can be found by multiplying the highest exponent prime factors of 5040 and 5044. First we will calculate the prime factors of 5040 and 5044.

Prime Factorization of 5040


2 5040
2 2520
2 1260
2 630
3 315
3 105
5 35
7 7
1

Prime factors of 5040 are 2, 3, 5,7. Prime factorization of 5040 in exponential form is:

5040 = 24×32×51×71

Prime Factorization of 5044


2 5044
2 2522
13 1261
97 97
1

Prime factors of 5044 are 2, 13,97. Prime factorization of 5044 in exponential form is:

5044 = 22×131×971

Now multiplying the highest exponent prime factors to calculate the LCM of 5040 and 5044.

LCM(5040,5044) = 24×32×51×71×131×971
LCM(5040,5044) = 6355440

Factors of 5040

List of positive integer factors of 5040 that divides 5040 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040

Factors of 5044

List of positive integer factors of 5044 that divides 5044 without a remainder.

1, 2, 4, 13, 26, 52, 97, 194, 388, 1261, 2522, 5044

Least Common Multiple of 5040 and 5044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5040 and 5044, than apply into the LCM equation.

GCF(5040,5044) = 4
LCM(5040,5044) = ( 5040 × 5044) / 4
LCM(5040,5044) = 25421760 / 4
LCM(5040,5044) = 6355440

Properties of LCM 5040 and 5044

(i) The LCM of 5044 and 5040 is associative

LCM of 5040 and 5044 = LCM of 5044 and 5040

Related Least Common Multiples of 5040

Related Least Common Multiples of 5044

Frequently Asked Questions on LCM of 5040 and 5044

1. What is the LCM of 5040 and 5044?

Answer: LCM of 5040 and 5044 is 6355440.

2. What are the Factors of 5040?

Answer: Factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040. There are 60 integers that are factors of 5040. The greatest factor of 5040 is 5040.

3. What are the Factors of 5044?

Answer: Factors of 5044 are 1, 2, 4, 13, 26, 52, 97, 194, 388, 1261, 2522, 5044. There are 12 integers that are factors of 5044. The greatest factor of 5044 is 5044.

4. How to Find the LCM of 5040 and 5044?

Answer:

Least Common Multiple of 5040 and 5044 = 6355440

Step 1: Find the prime factorization of 5040

5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 5044

5044 = 2 x 2 x 13 x 97

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

LCM = 6355440 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 97

Step 4: Therefore, the least common multiple of 5040 and 5044 is 6355440.