Least Common Multiple of 6031 and 6032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6031 and 6032 the smallest integer that is 36378992 that is divisible by both numbers.

Least Common Multiple (LCM) of 6031 and 6032 is 36378992.

LCM(6031,6032) = 36378992

LCM of 6031 and 6032

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

LCM of:
and

Least Common Multiple of 6031 and 6032

LCM of 6031 and 6032 is 36378992

Least common multiple can be found by multiplying the highest exponent prime factors of 6031 and 6032. First we will calculate the prime factors of 6031 and 6032.

Prime Factorization of 6031


37 6031
163 163
1

Prime factors of 6031 are 37,163. Prime factorization of 6031 in exponential form is:

6031 = 371×1631

Prime Factorization of 6032


2 6032
2 3016
2 1508
2 754
13 377
29 29
1

Prime factors of 6032 are 2, 13,29. Prime factorization of 6032 in exponential form is:

6032 = 24×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6031 and 6032.

LCM(6031,6032) = 24×131×291×371×1631
LCM(6031,6032) = 36378992

Factors of 6031

List of positive integer factors of 6031 that divides 6031 without a remainder.

1, 37, 163, 6031

Factors of 6032

List of positive integer factors of 6032 that divides 6032 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016, 6032

Least Common Multiple of 6031 and 6032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6031 and 6032, than apply into the LCM equation.

GCF(6031,6032) = 1
LCM(6031,6032) = ( 6031 × 6032) / 1
LCM(6031,6032) = 36378992 / 1
LCM(6031,6032) = 36378992

Properties of LCM 6031 and 6032

(i) The LCM of 6032 and 6031 is associative

LCM of 6031 and 6032 = LCM of 6032 and 6031

Related Least Common Multiples of 6031

Related Least Common Multiples of 6032

Frequently Asked Questions on LCM of 6031 and 6032

1. What is the LCM of 6031 and 6032?

Answer: LCM of 6031 and 6032 is 36378992.

2. What are the Factors of 6031?

Answer: Factors of 6031 are 1, 37, 163, 6031. There are 4 integers that are factors of 6031. The greatest factor of 6031 is 6031.

3. What are the Factors of 6032?

Answer: Factors of 6032 are 1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016, 6032. There are 20 integers that are factors of 6032. The greatest factor of 6032 is 6032.

4. How to Find the LCM of 6031 and 6032?

Answer:

Least Common Multiple of 6031 and 6032 = 36378992

Step 1: Find the prime factorization of 6031

6031 = 37 x 163

Step 2: Find the prime factorization of 6032

6032 = 2 x 2 x 2 x 2 x 13 x 29

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

LCM = 36378992 = 2 x 2 x 2 x 2 x 13 x 29 x 37 x 163

Step 4: Therefore, the least common multiple of 6031 and 6032 is 36378992.