Least Common Multiple of 31035 and 31040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31035 and 31040 the smallest integer that is 192665280 that is divisible by both numbers.

Least Common Multiple (LCM) of 31035 and 31040 is 192665280.

LCM(31035,31040) = 192665280

LCM of 31035 and 31040

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

LCM of:
and

Least Common Multiple of 31035 and 31040

LCM of 31035 and 31040 is 192665280

Least common multiple can be found by multiplying the highest exponent prime factors of 31035 and 31040. First we will calculate the prime factors of 31035 and 31040.

Prime Factorization of 31035


3 31035
5 10345
2069 2069
1

Prime factors of 31035 are 3, 5,2069. Prime factorization of 31035 in exponential form is:

31035 = 31×51×20691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 31035 and 31040.

LCM(31035,31040) = 26×31×51×971×20691
LCM(31035,31040) = 192665280

Factors of 31035

List of positive integer factors of 31035 that divides 31035 without a remainder.

1, 3, 5, 15, 2069, 6207, 10345, 31035

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

Least Common Multiple of 31035 and 31040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31035 and 31040, than apply into the LCM equation.

GCF(31035,31040) = 5
LCM(31035,31040) = ( 31035 × 31040) / 5
LCM(31035,31040) = 963326400 / 5
LCM(31035,31040) = 192665280

Properties of LCM 31035 and 31040

(i) The LCM of 31040 and 31035 is associative

LCM of 31035 and 31040 = LCM of 31040 and 31035

Related Least Common Multiples of 31035

Related Least Common Multiples of 31040

Frequently Asked Questions on LCM of 31035 and 31040

1. What is the LCM of 31035 and 31040?

Answer: LCM of 31035 and 31040 is 192665280.

2. What are the Factors of 31035?

Answer: Factors of 31035 are 1, 3, 5, 15, 2069, 6207, 10345, 31035. There are 8 integers that are factors of 31035. The greatest factor of 31035 is 31035.

3. 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.

4. How to Find the LCM of 31035 and 31040?

Answer:

Least Common Multiple of 31035 and 31040 = 192665280

Step 1: Find the prime factorization of 31035

31035 = 3 x 5 x 2069

Step 2: Find the prime factorization of 31040

31040 = 2 x 2 x 2 x 2 x 2 x 2 x 5 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 = 192665280 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 97 x 2069

Step 4: Therefore, the least common multiple of 31035 and 31040 is 192665280.