Least Common Multiple of 4026 and 4031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4026 and 4031 the smallest integer that is 16228806 that is divisible by both numbers.

Least Common Multiple (LCM) of 4026 and 4031 is 16228806.

LCM(4026,4031) = 16228806

LCM of 4026 and 4031

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

LCM of:
and

Least Common Multiple of 4026 and 4031

LCM of 4026 and 4031 is 16228806

Least common multiple can be found by multiplying the highest exponent prime factors of 4026 and 4031. First we will calculate the prime factors of 4026 and 4031.

Prime Factorization of 4026


2 4026
3 2013
11 671
61 61
1

Prime factors of 4026 are 2, 3, 11,61. Prime factorization of 4026 in exponential form is:

4026 = 21×31×111×611

Prime Factorization of 4031


29 4031
139 139
1

Prime factors of 4031 are 29,139. Prime factorization of 4031 in exponential form is:

4031 = 291×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 4026 and 4031.

LCM(4026,4031) = 21×31×111×291×611×1391
LCM(4026,4031) = 16228806

Factors of 4026

List of positive integer factors of 4026 that divides 4026 without a remainder.

1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026

Factors of 4031

List of positive integer factors of 4031 that divides 4031 without a remainder.

1, 29, 139, 4031

Least Common Multiple of 4026 and 4031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4026 and 4031, than apply into the LCM equation.

GCF(4026,4031) = 1
LCM(4026,4031) = ( 4026 × 4031) / 1
LCM(4026,4031) = 16228806 / 1
LCM(4026,4031) = 16228806

Properties of LCM 4026 and 4031

(i) The LCM of 4031 and 4026 is associative

LCM of 4026 and 4031 = LCM of 4031 and 4026

Related Least Common Multiples of 4026

Related Least Common Multiples of 4031

Frequently Asked Questions on LCM of 4026 and 4031

1. What is the LCM of 4026 and 4031?

Answer: LCM of 4026 and 4031 is 16228806.

2. What are the Factors of 4026?

Answer: Factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026. There are 16 integers that are factors of 4026. The greatest factor of 4026 is 4026.

3. What are the Factors of 4031?

Answer: Factors of 4031 are 1, 29, 139, 4031. There are 4 integers that are factors of 4031. The greatest factor of 4031 is 4031.

4. How to Find the LCM of 4026 and 4031?

Answer:

Least Common Multiple of 4026 and 4031 = 16228806

Step 1: Find the prime factorization of 4026

4026 = 2 x 3 x 11 x 61

Step 2: Find the prime factorization of 4031

4031 = 29 x 139

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

LCM = 16228806 = 2 x 3 x 11 x 29 x 61 x 139

Step 4: Therefore, the least common multiple of 4026 and 4031 is 16228806.