Least Common Multiple of 2053 and 2058

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2053 and 2058 the smallest integer that is 4225074 that is divisible by both numbers.

Least Common Multiple (LCM) of 2053 and 2058 is 4225074.

LCM(2053,2058) = 4225074

LCM of 2053 and 2058

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

LCM of:
and

Least Common Multiple of 2053 and 2058

LCM of 2053 and 2058 is 4225074

Least common multiple can be found by multiplying the highest exponent prime factors of 2053 and 2058. First we will calculate the prime factors of 2053 and 2058.

Prime Factorization of 2053


2053 2053
1

Prime factors of 2053 are 2053. Prime factorization of 2053 in exponential form is:

2053 = 20531

Prime Factorization of 2058


2 2058
3 1029
7 343
7 49
7 7
1

Prime factors of 2058 are 2, 3,7. Prime factorization of 2058 in exponential form is:

2058 = 21×31×73

Now multiplying the highest exponent prime factors to calculate the LCM of 2053 and 2058.

LCM(2053,2058) = 21×31×73×20531
LCM(2053,2058) = 4225074

Factors of 2053

List of positive integer factors of 2053 that divides 2053 without a remainder.

1, 2053

Factors of 2058

List of positive integer factors of 2058 that divides 2058 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029, 2058

Least Common Multiple of 2053 and 2058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2053 and 2058, than apply into the LCM equation.

GCF(2053,2058) = 1
LCM(2053,2058) = ( 2053 × 2058) / 1
LCM(2053,2058) = 4225074 / 1
LCM(2053,2058) = 4225074

Properties of LCM 2053 and 2058

(i) The LCM of 2058 and 2053 is associative

LCM of 2053 and 2058 = LCM of 2058 and 2053

Related Least Common Multiples of 2053

Related Least Common Multiples of 2058

Frequently Asked Questions on LCM of 2053 and 2058

1. What is the LCM of 2053 and 2058?

Answer: LCM of 2053 and 2058 is 4225074.

2. What are the Factors of 2053?

Answer: Factors of 2053 are 1, 2053. There are 2 integers that are factors of 2053. The greatest factor of 2053 is 2053.

3. What are the Factors of 2058?

Answer: Factors of 2058 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029, 2058. There are 16 integers that are factors of 2058. The greatest factor of 2058 is 2058.

4. How to Find the LCM of 2053 and 2058?

Answer:

Least Common Multiple of 2053 and 2058 = 4225074

Step 1: Find the prime factorization of 2053

2053 = 2053

Step 2: Find the prime factorization of 2058

2058 = 2 x 3 x 7 x 7 x 7

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

LCM = 4225074 = 2 x 3 x 7 x 7 x 7 x 2053

Step 4: Therefore, the least common multiple of 2053 and 2058 is 4225074.