Least Common Multiple of 40040 and 40044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40040 and 40044 the smallest integer that is 400840440 that is divisible by both numbers.

Least Common Multiple (LCM) of 40040 and 40044 is 400840440.

LCM(40040,40044) = 400840440

LCM of 40040 and 40044

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

LCM of:
and

Least Common Multiple of 40040 and 40044

LCM of 40040 and 40044 is 400840440

Least common multiple can be found by multiplying the highest exponent prime factors of 40040 and 40044. First we will calculate the prime factors of 40040 and 40044.

Prime Factorization of 40040


2 40040
2 20020
2 10010
5 5005
7 1001
11 143
13 13
1

Prime factors of 40040 are 2, 5, 7, 11,13. Prime factorization of 40040 in exponential form is:

40040 = 23×51×71×111×131

Prime Factorization of 40044


2 40044
2 20022
3 10011
47 3337
71 71
1

Prime factors of 40044 are 2, 3, 47,71. Prime factorization of 40044 in exponential form is:

40044 = 22×31×471×711

Now multiplying the highest exponent prime factors to calculate the LCM of 40040 and 40044.

LCM(40040,40044) = 23×31×51×71×111×131×471×711
LCM(40040,40044) = 400840440

Factors of 40040

List of positive integer factors of 40040 that divides 40040 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 20, 22, 26, 28, 35, 40, 44, 52, 55, 56, 65, 70, 77, 88, 91, 104, 110, 130, 140, 143, 154, 182, 220, 260, 280, 286, 308, 364, 385, 440, 455, 520, 572, 616, 715, 728, 770, 910, 1001, 1144, 1430, 1540, 1820, 2002, 2860, 3080, 3640, 4004, 5005, 5720, 8008, 10010, 20020, 40040

Factors of 40044

List of positive integer factors of 40044 that divides 40044 without a remainder.

1, 2, 3, 4, 6, 12, 47, 71, 94, 141, 142, 188, 213, 282, 284, 426, 564, 852, 3337, 6674, 10011, 13348, 20022, 40044

Least Common Multiple of 40040 and 40044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40040 and 40044, than apply into the LCM equation.

GCF(40040,40044) = 4
LCM(40040,40044) = ( 40040 × 40044) / 4
LCM(40040,40044) = 1603361760 / 4
LCM(40040,40044) = 400840440

Properties of LCM 40040 and 40044

(i) The LCM of 40044 and 40040 is associative

LCM of 40040 and 40044 = LCM of 40044 and 40040

Related Least Common Multiples of 40040

Related Least Common Multiples of 40044

Frequently Asked Questions on LCM of 40040 and 40044

1. What is the LCM of 40040 and 40044?

Answer: LCM of 40040 and 40044 is 400840440.

2. What are the Factors of 40040?

Answer: Factors of 40040 are 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 20, 22, 26, 28, 35, 40, 44, 52, 55, 56, 65, 70, 77, 88, 91, 104, 110, 130, 140, 143, 154, 182, 220, 260, 280, 286, 308, 364, 385, 440, 455, 520, 572, 616, 715, 728, 770, 910, 1001, 1144, 1430, 1540, 1820, 2002, 2860, 3080, 3640, 4004, 5005, 5720, 8008, 10010, 20020, 40040. There are 64 integers that are factors of 40040. The greatest factor of 40040 is 40040.

3. What are the Factors of 40044?

Answer: Factors of 40044 are 1, 2, 3, 4, 6, 12, 47, 71, 94, 141, 142, 188, 213, 282, 284, 426, 564, 852, 3337, 6674, 10011, 13348, 20022, 40044. There are 24 integers that are factors of 40044. The greatest factor of 40044 is 40044.

4. How to Find the LCM of 40040 and 40044?

Answer:

Least Common Multiple of 40040 and 40044 = 400840440

Step 1: Find the prime factorization of 40040

40040 = 2 x 2 x 2 x 5 x 7 x 11 x 13

Step 2: Find the prime factorization of 40044

40044 = 2 x 2 x 3 x 47 x 71

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

LCM = 400840440 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 x 47 x 71

Step 4: Therefore, the least common multiple of 40040 and 40044 is 400840440.