Least Common Multiple of 4020 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 4020 and 4026 the smallest integer that is 2697420 that is divisible by both numbers.

Least Common Multiple (LCM) of 4020 and 4026 is 2697420.

LCM(4020,4026) = 2697420

LCM of 4020 and 4026

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

LCM of:
and

Least Common Multiple of 4020 and 4026

LCM of 4020 and 4026 is 2697420

Least common multiple can be found by multiplying the highest exponent prime factors of 4020 and 4026. First we will calculate the prime factors of 4020 and 4026.

Prime Factorization of 4020


2 4020
2 2010
3 1005
5 335
67 67
1

Prime factors of 4020 are 2, 3, 5,67. Prime factorization of 4020 in exponential form is:

4020 = 22×31×51×671

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 4020 and 4026.

LCM(4020,4026) = 22×31×51×111×611×671
LCM(4020,4026) = 2697420

Factors of 4020

List of positive integer factors of 4020 that divides 4020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020

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 4020 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 4020 and 4026, than apply into the LCM equation.

GCF(4020,4026) = 6
LCM(4020,4026) = ( 4020 × 4026) / 6
LCM(4020,4026) = 16184520 / 6
LCM(4020,4026) = 2697420

Properties of LCM 4020 and 4026

(i) The LCM of 4026 and 4020 is associative

LCM of 4020 and 4026 = LCM of 4026 and 4020

Related Least Common Multiples of 4020

Related Least Common Multiples of 4026

Frequently Asked Questions on LCM of 4020 and 4026

1. What is the LCM of 4020 and 4026?

Answer: LCM of 4020 and 4026 is 2697420.

2. What are the Factors of 4020?

Answer: Factors of 4020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020. There are 24 integers that are factors of 4020. The greatest factor of 4020 is 4020.

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 4020 and 4026?

Answer:

Least Common Multiple of 4020 and 4026 = 2697420

Step 1: Find the prime factorization of 4020

4020 = 2 x 2 x 3 x 5 x 67

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 = 2697420 = 2 x 2 x 3 x 5 x 11 x 61 x 67

Step 4: Therefore, the least common multiple of 4020 and 4026 is 2697420.