Least Common Multiple of 3021 and 3026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3021 and 3026 the smallest integer that is 9141546 that is divisible by both numbers.

Least Common Multiple (LCM) of 3021 and 3026 is 9141546.

LCM(3021,3026) = 9141546

LCM of 3021 and 3026

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

LCM of:
and

Least Common Multiple of 3021 and 3026

LCM of 3021 and 3026 is 9141546

Least common multiple can be found by multiplying the highest exponent prime factors of 3021 and 3026. First we will calculate the prime factors of 3021 and 3026.

Prime Factorization of 3021


3 3021
19 1007
53 53
1

Prime factors of 3021 are 3, 19,53. Prime factorization of 3021 in exponential form is:

3021 = 31×191×531

Prime Factorization of 3026


2 3026
17 1513
89 89
1

Prime factors of 3026 are 2, 17,89. Prime factorization of 3026 in exponential form is:

3026 = 21×171×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3021 and 3026.

LCM(3021,3026) = 21×31×171×191×531×891
LCM(3021,3026) = 9141546

Factors of 3021

List of positive integer factors of 3021 that divides 3021 without a remainder.

1, 3, 19, 53, 57, 159, 1007, 3021

Factors of 3026

List of positive integer factors of 3026 that divides 3026 without a remainder.

1, 2, 17, 34, 89, 178, 1513, 3026

Least Common Multiple of 3021 and 3026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3021 and 3026, than apply into the LCM equation.

GCF(3021,3026) = 1
LCM(3021,3026) = ( 3021 × 3026) / 1
LCM(3021,3026) = 9141546 / 1
LCM(3021,3026) = 9141546

Properties of LCM 3021 and 3026

(i) The LCM of 3026 and 3021 is associative

LCM of 3021 and 3026 = LCM of 3026 and 3021

Related Least Common Multiples of 3021

Related Least Common Multiples of 3026

Frequently Asked Questions on LCM of 3021 and 3026

1. What is the LCM of 3021 and 3026?

Answer: LCM of 3021 and 3026 is 9141546.

2. What are the Factors of 3021?

Answer: Factors of 3021 are 1, 3, 19, 53, 57, 159, 1007, 3021. There are 8 integers that are factors of 3021. The greatest factor of 3021 is 3021.

3. What are the Factors of 3026?

Answer: Factors of 3026 are 1, 2, 17, 34, 89, 178, 1513, 3026. There are 8 integers that are factors of 3026. The greatest factor of 3026 is 3026.

4. How to Find the LCM of 3021 and 3026?

Answer:

Least Common Multiple of 3021 and 3026 = 9141546

Step 1: Find the prime factorization of 3021

3021 = 3 x 19 x 53

Step 2: Find the prime factorization of 3026

3026 = 2 x 17 x 89

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

LCM = 9141546 = 2 x 3 x 17 x 19 x 53 x 89

Step 4: Therefore, the least common multiple of 3021 and 3026 is 9141546.