Least Common Multiple of 2040 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 2040 and 2047 the smallest integer that is 4175880 that is divisible by both numbers.

Least Common Multiple (LCM) of 2040 and 2047 is 4175880.

LCM(2040,2047) = 4175880

LCM of 2040 and 2047

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

LCM of:
and

Least Common Multiple of 2040 and 2047

LCM of 2040 and 2047 is 4175880

Least common multiple can be found by multiplying the highest exponent prime factors of 2040 and 2047. First we will calculate the prime factors of 2040 and 2047.

Prime Factorization of 2040


2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 2040 are 2, 3, 5,17. Prime factorization of 2040 in exponential form is:

2040 = 23×31×51×171

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 2040 and 2047.

LCM(2040,2047) = 23×31×51×171×231×891
LCM(2040,2047) = 4175880

Factors of 2040

List of positive integer factors of 2040 that divides 2040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040

Factors of 2047

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

1, 23, 89, 2047

Least Common Multiple of 2040 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 2040 and 2047, than apply into the LCM equation.

GCF(2040,2047) = 1
LCM(2040,2047) = ( 2040 × 2047) / 1
LCM(2040,2047) = 4175880 / 1
LCM(2040,2047) = 4175880

Properties of LCM 2040 and 2047

(i) The LCM of 2047 and 2040 is associative

LCM of 2040 and 2047 = LCM of 2047 and 2040

Related Least Common Multiples of 2040

Related Least Common Multiples of 2047

Frequently Asked Questions on LCM of 2040 and 2047

1. What is the LCM of 2040 and 2047?

Answer: LCM of 2040 and 2047 is 4175880.

2. What are the Factors of 2040?

Answer: Factors of 2040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040. There are 32 integers that are factors of 2040. The greatest factor of 2040 is 2040.

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 2040 and 2047?

Answer:

Least Common Multiple of 2040 and 2047 = 4175880

Step 1: Find the prime factorization of 2040

2040 = 2 x 2 x 2 x 3 x 5 x 17

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 = 4175880 = 2 x 2 x 2 x 3 x 5 x 17 x 23 x 89

Step 4: Therefore, the least common multiple of 2040 and 2047 is 4175880.