Least Common Multiple of 2052 and 2055

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 2055 the smallest integer that is 1405620 that is divisible by both numbers.

Least Common Multiple (LCM) of 2052 and 2055 is 1405620.

LCM(2052,2055) = 1405620

LCM of 2052 and 2055

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

LCM of:
and

Least Common Multiple of 2052 and 2055

LCM of 2052 and 2055 is 1405620

Least common multiple can be found by multiplying the highest exponent prime factors of 2052 and 2055. First we will calculate the prime factors of 2052 and 2055.

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 2055


3 2055
5 685
137 137
1

Prime factors of 2055 are 3, 5,137. Prime factorization of 2055 in exponential form is:

2055 = 31×51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 2052 and 2055.

LCM(2052,2055) = 22×33×51×191×1371
LCM(2052,2055) = 1405620

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 2055

List of positive integer factors of 2055 that divides 2055 without a remainder.

1, 3, 5, 15, 137, 411, 685, 2055

Least Common Multiple of 2052 and 2055 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 2055, than apply into the LCM equation.

GCF(2052,2055) = 3
LCM(2052,2055) = ( 2052 × 2055) / 3
LCM(2052,2055) = 4216860 / 3
LCM(2052,2055) = 1405620

Properties of LCM 2052 and 2055

(i) The LCM of 2055 and 2052 is associative

LCM of 2052 and 2055 = LCM of 2055 and 2052

Related Least Common Multiples of 2052

Related Least Common Multiples of 2055

Frequently Asked Questions on LCM of 2052 and 2055

1. What is the LCM of 2052 and 2055?

Answer: LCM of 2052 and 2055 is 1405620.

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 2055?

Answer: Factors of 2055 are 1, 3, 5, 15, 137, 411, 685, 2055. There are 8 integers that are factors of 2055. The greatest factor of 2055 is 2055.

4. How to Find the LCM of 2052 and 2055?

Answer:

Least Common Multiple of 2052 and 2055 = 1405620

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 2055

2055 = 3 x 5 x 137

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

LCM = 1405620 = 2 x 2 x 3 x 3 x 3 x 5 x 19 x 137

Step 4: Therefore, the least common multiple of 2052 and 2055 is 1405620.