Least Common Multiple of 2043 and 2047

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2043 and 2047 the smallest integer that is 4182021 that is divisible by both numbers.

Least Common Multiple (LCM) of 2043 and 2047 is 4182021.

LCM(2043,2047) = 4182021

LCM of 2043 and 2047

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

LCM of:
and

Least Common Multiple of 2043 and 2047

LCM of 2043 and 2047 is 4182021

Least common multiple can be found by multiplying the highest exponent prime factors of 2043 and 2047. First we will calculate the prime factors of 2043 and 2047.

Prime Factorization of 2043


3 2043
3 681
227 227
1

Prime factors of 2043 are 3,227. Prime factorization of 2043 in exponential form is:

2043 = 32×2271

Prime Factorization of 2047


23 2047
89 89
1

Prime factors of 2047 are 23,89. Prime factorization of 2047 in exponential form is:

2047 = 231×891

Now multiplying the highest exponent prime factors to calculate the LCM of 2043 and 2047.

LCM(2043,2047) = 32×231×891×2271
LCM(2043,2047) = 4182021

Factors of 2043

List of positive integer factors of 2043 that divides 2043 without a remainder.

1, 3, 9, 227, 681, 2043

Factors of 2047

List of positive integer factors of 2047 that divides 2047 without a remainder.

1, 23, 89, 2047

Least Common Multiple of 2043 and 2047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2043 and 2047, than apply into the LCM equation.

GCF(2043,2047) = 1
LCM(2043,2047) = ( 2043 × 2047) / 1
LCM(2043,2047) = 4182021 / 1
LCM(2043,2047) = 4182021

Properties of LCM 2043 and 2047

(i) The LCM of 2047 and 2043 is associative

LCM of 2043 and 2047 = LCM of 2047 and 2043

Related Least Common Multiples of 2043

Related Least Common Multiples of 2047

Frequently Asked Questions on LCM of 2043 and 2047

1. What is the LCM of 2043 and 2047?

Answer: LCM of 2043 and 2047 is 4182021.

2. What are the Factors of 2043?

Answer: Factors of 2043 are 1, 3, 9, 227, 681, 2043. There are 6 integers that are factors of 2043. The greatest factor of 2043 is 2043.

3. What are the Factors of 2047?

Answer: Factors of 2047 are 1, 23, 89, 2047. There are 4 integers that are factors of 2047. The greatest factor of 2047 is 2047.

4. How to Find the LCM of 2043 and 2047?

Answer:

Least Common Multiple of 2043 and 2047 = 4182021

Step 1: Find the prime factorization of 2043

2043 = 3 x 3 x 227

Step 2: Find the prime factorization of 2047

2047 = 23 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 = 4182021 = 3 x 3 x 23 x 89 x 227

Step 4: Therefore, the least common multiple of 2043 and 2047 is 4182021.