Least Common Multiple of 2052 and 2059

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 2059 the smallest integer that is 4225068 that is divisible by both numbers.

Least Common Multiple (LCM) of 2052 and 2059 is 4225068.

LCM(2052,2059) = 4225068

LCM of 2052 and 2059

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

LCM of:
and

Least Common Multiple of 2052 and 2059

LCM of 2052 and 2059 is 4225068

Least common multiple can be found by multiplying the highest exponent prime factors of 2052 and 2059. First we will calculate the prime factors of 2052 and 2059.

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 2059


29 2059
71 71
1

Prime factors of 2059 are 29,71. Prime factorization of 2059 in exponential form is:

2059 = 291×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2052 and 2059.

LCM(2052,2059) = 22×33×191×291×711
LCM(2052,2059) = 4225068

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 2059

List of positive integer factors of 2059 that divides 2059 without a remainder.

1, 29, 71, 2059

Least Common Multiple of 2052 and 2059 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 2059, than apply into the LCM equation.

GCF(2052,2059) = 1
LCM(2052,2059) = ( 2052 × 2059) / 1
LCM(2052,2059) = 4225068 / 1
LCM(2052,2059) = 4225068

Properties of LCM 2052 and 2059

(i) The LCM of 2059 and 2052 is associative

LCM of 2052 and 2059 = LCM of 2059 and 2052

Related Least Common Multiples of 2052

Related Least Common Multiples of 2059

Frequently Asked Questions on LCM of 2052 and 2059

1. What is the LCM of 2052 and 2059?

Answer: LCM of 2052 and 2059 is 4225068.

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 2059?

Answer: Factors of 2059 are 1, 29, 71, 2059. There are 4 integers that are factors of 2059. The greatest factor of 2059 is 2059.

4. How to Find the LCM of 2052 and 2059?

Answer:

Least Common Multiple of 2052 and 2059 = 4225068

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 2059

2059 = 29 x 71

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

LCM = 4225068 = 2 x 2 x 3 x 3 x 3 x 19 x 29 x 71

Step 4: Therefore, the least common multiple of 2052 and 2059 is 4225068.