Least Common Multiple of 2047 and 2052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2047 and 2052 the smallest integer that is 4200444 that is divisible by both numbers.

Least Common Multiple (LCM) of 2047 and 2052 is 4200444.

LCM(2047,2052) = 4200444

LCM of 2047 and 2052

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

LCM of:
and

Least Common Multiple of 2047 and 2052

LCM of 2047 and 2052 is 4200444

Least common multiple can be found by multiplying the highest exponent prime factors of 2047 and 2052. First we will calculate the prime factors of 2047 and 2052.

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

Prime Factorization of 2052


2 2052
2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 2052 are 2, 3,19. Prime factorization of 2052 in exponential form is:

2052 = 22×33×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2047 and 2052.

LCM(2047,2052) = 22×33×191×231×891
LCM(2047,2052) = 4200444

Factors of 2047

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

1, 23, 89, 2047

Factors of 2052

List of positive integer factors of 2052 that divides 2052 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026, 2052

Least Common Multiple of 2047 and 2052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2047 and 2052, than apply into the LCM equation.

GCF(2047,2052) = 1
LCM(2047,2052) = ( 2047 × 2052) / 1
LCM(2047,2052) = 4200444 / 1
LCM(2047,2052) = 4200444

Properties of LCM 2047 and 2052

(i) The LCM of 2052 and 2047 is associative

LCM of 2047 and 2052 = LCM of 2052 and 2047

Related Least Common Multiples of 2047

Related Least Common Multiples of 2052

Frequently Asked Questions on LCM of 2047 and 2052

1. What is the LCM of 2047 and 2052?

Answer: LCM of 2047 and 2052 is 4200444.

2. 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.

3. What are the Factors of 2052?

Answer: Factors of 2052 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026, 2052. There are 24 integers that are factors of 2052. The greatest factor of 2052 is 2052.

4. How to Find the LCM of 2047 and 2052?

Answer:

Least Common Multiple of 2047 and 2052 = 4200444

Step 1: Find the prime factorization of 2047

2047 = 23 x 89

Step 2: Find the prime factorization of 2052

2052 = 2 x 2 x 3 x 3 x 3 x 19

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

LCM = 4200444 = 2 x 2 x 3 x 3 x 3 x 19 x 23 x 89

Step 4: Therefore, the least common multiple of 2047 and 2052 is 4200444.