Least Common Multiple of 2052 and 2060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2052 and 2060 the smallest integer that is 1056780 that is divisible by both numbers.

Least Common Multiple (LCM) of 2052 and 2060 is 1056780.

LCM(2052,2060) = 1056780

LCM of 2052 and 2060

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

LCM of:
and

Least Common Multiple of 2052 and 2060

LCM of 2052 and 2060 is 1056780

Least common multiple can be found by multiplying the highest exponent prime factors of 2052 and 2060. First we will calculate the prime factors of 2052 and 2060.

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

Prime Factorization of 2060


2 2060
2 1030
5 515
103 103
1

Prime factors of 2060 are 2, 5,103. Prime factorization of 2060 in exponential form is:

2060 = 22×51×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 2052 and 2060.

LCM(2052,2060) = 22×33×51×191×1031
LCM(2052,2060) = 1056780

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

Factors of 2060

List of positive integer factors of 2060 that divides 2060 without a remainder.

1, 2, 4, 5, 10, 20, 103, 206, 412, 515, 1030, 2060

Least Common Multiple of 2052 and 2060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2052 and 2060, than apply into the LCM equation.

GCF(2052,2060) = 4
LCM(2052,2060) = ( 2052 × 2060) / 4
LCM(2052,2060) = 4227120 / 4
LCM(2052,2060) = 1056780

Properties of LCM 2052 and 2060

(i) The LCM of 2060 and 2052 is associative

LCM of 2052 and 2060 = LCM of 2060 and 2052

Related Least Common Multiples of 2052

Related Least Common Multiples of 2060

Frequently Asked Questions on LCM of 2052 and 2060

1. What is the LCM of 2052 and 2060?

Answer: LCM of 2052 and 2060 is 1056780.

2. 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.

3. What are the Factors of 2060?

Answer: Factors of 2060 are 1, 2, 4, 5, 10, 20, 103, 206, 412, 515, 1030, 2060. There are 12 integers that are factors of 2060. The greatest factor of 2060 is 2060.

4. How to Find the LCM of 2052 and 2060?

Answer:

Least Common Multiple of 2052 and 2060 = 1056780

Step 1: Find the prime factorization of 2052

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

Step 2: Find the prime factorization of 2060

2060 = 2 x 2 x 5 x 103

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

LCM = 1056780 = 2 x 2 x 3 x 3 x 3 x 5 x 19 x 103

Step 4: Therefore, the least common multiple of 2052 and 2060 is 1056780.