Least Common Multiple of 31040 and 31044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31040 and 31044 the smallest integer that is 240901440 that is divisible by both numbers.

Least Common Multiple (LCM) of 31040 and 31044 is 240901440.

LCM(31040,31044) = 240901440

LCM of 31040 and 31044

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

LCM of:
and

Least Common Multiple of 31040 and 31044

LCM of 31040 and 31044 is 240901440

Least common multiple can be found by multiplying the highest exponent prime factors of 31040 and 31044. First we will calculate the prime factors of 31040 and 31044.

Prime Factorization of 31040


2 31040
2 15520
2 7760
2 3880
2 1940
2 970
5 485
97 97
1

Prime factors of 31040 are 2, 5,97. Prime factorization of 31040 in exponential form is:

31040 = 26×51×971

Prime Factorization of 31044


2 31044
2 15522
3 7761
13 2587
199 199
1

Prime factors of 31044 are 2, 3, 13,199. Prime factorization of 31044 in exponential form is:

31044 = 22×31×131×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 31040 and 31044.

LCM(31040,31044) = 26×31×51×131×971×1991
LCM(31040,31044) = 240901440

Factors of 31040

List of positive integer factors of 31040 that divides 31040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 97, 160, 194, 320, 388, 485, 776, 970, 1552, 1940, 3104, 3880, 6208, 7760, 15520, 31040

Factors of 31044

List of positive integer factors of 31044 that divides 31044 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 199, 398, 597, 796, 1194, 2388, 2587, 5174, 7761, 10348, 15522, 31044

Least Common Multiple of 31040 and 31044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31040 and 31044, than apply into the LCM equation.

GCF(31040,31044) = 4
LCM(31040,31044) = ( 31040 × 31044) / 4
LCM(31040,31044) = 963605760 / 4
LCM(31040,31044) = 240901440

Properties of LCM 31040 and 31044

(i) The LCM of 31044 and 31040 is associative

LCM of 31040 and 31044 = LCM of 31044 and 31040

Related Least Common Multiples of 31040

Related Least Common Multiples of 31044

Frequently Asked Questions on LCM of 31040 and 31044

1. What is the LCM of 31040 and 31044?

Answer: LCM of 31040 and 31044 is 240901440.

2. What are the Factors of 31040?

Answer: Factors of 31040 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 97, 160, 194, 320, 388, 485, 776, 970, 1552, 1940, 3104, 3880, 6208, 7760, 15520, 31040. There are 28 integers that are factors of 31040. The greatest factor of 31040 is 31040.

3. What are the Factors of 31044?

Answer: Factors of 31044 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 199, 398, 597, 796, 1194, 2388, 2587, 5174, 7761, 10348, 15522, 31044. There are 24 integers that are factors of 31044. The greatest factor of 31044 is 31044.

4. How to Find the LCM of 31040 and 31044?

Answer:

Least Common Multiple of 31040 and 31044 = 240901440

Step 1: Find the prime factorization of 31040

31040 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 97

Step 2: Find the prime factorization of 31044

31044 = 2 x 2 x 3 x 13 x 199

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

LCM = 240901440 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 97 x 199

Step 4: Therefore, the least common multiple of 31040 and 31044 is 240901440.