Least Common Multiple of 4021 and 4026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4021 and 4026 the smallest integer that is 16188546 that is divisible by both numbers.

Least Common Multiple (LCM) of 4021 and 4026 is 16188546.

LCM(4021,4026) = 16188546

LCM of 4021 and 4026

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

LCM of:
and

Least Common Multiple of 4021 and 4026

LCM of 4021 and 4026 is 16188546

Least common multiple can be found by multiplying the highest exponent prime factors of 4021 and 4026. First we will calculate the prime factors of 4021 and 4026.

Prime Factorization of 4021


4021 4021
1

Prime factors of 4021 are 4021. Prime factorization of 4021 in exponential form is:

4021 = 40211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4021 and 4026.

LCM(4021,4026) = 21×31×111×611×40211
LCM(4021,4026) = 16188546

Factors of 4021

List of positive integer factors of 4021 that divides 4021 without a remainder.

1, 4021

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

Least Common Multiple of 4021 and 4026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4021 and 4026, than apply into the LCM equation.

GCF(4021,4026) = 1
LCM(4021,4026) = ( 4021 × 4026) / 1
LCM(4021,4026) = 16188546 / 1
LCM(4021,4026) = 16188546

Properties of LCM 4021 and 4026

(i) The LCM of 4026 and 4021 is associative

LCM of 4021 and 4026 = LCM of 4026 and 4021

Related Least Common Multiples of 4021

Related Least Common Multiples of 4026

Frequently Asked Questions on LCM of 4021 and 4026

1. What is the LCM of 4021 and 4026?

Answer: LCM of 4021 and 4026 is 16188546.

2. What are the Factors of 4021?

Answer: Factors of 4021 are 1, 4021. There are 2 integers that are factors of 4021. The greatest factor of 4021 is 4021.

3. 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.

4. How to Find the LCM of 4021 and 4026?

Answer:

Least Common Multiple of 4021 and 4026 = 16188546

Step 1: Find the prime factorization of 4021

4021 = 4021

Step 2: Find the prime factorization of 4026

4026 = 2 x 3 x 11 x 61

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

LCM = 16188546 = 2 x 3 x 11 x 61 x 4021

Step 4: Therefore, the least common multiple of 4021 and 4026 is 16188546.