Least Common Multiple of 2058 and 2063

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2058 and 2063 the smallest integer that is 4245654 that is divisible by both numbers.

Least Common Multiple (LCM) of 2058 and 2063 is 4245654.

LCM(2058,2063) = 4245654

LCM of 2058 and 2063

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

LCM of:
and

Least Common Multiple of 2058 and 2063

LCM of 2058 and 2063 is 4245654

Least common multiple can be found by multiplying the highest exponent prime factors of 2058 and 2063. First we will calculate the prime factors of 2058 and 2063.

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

Prime Factorization of 2063


2063 2063
1

Prime factors of 2063 are 2063. Prime factorization of 2063 in exponential form is:

2063 = 20631

Now multiplying the highest exponent prime factors to calculate the LCM of 2058 and 2063.

LCM(2058,2063) = 21×31×73×20631
LCM(2058,2063) = 4245654

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

Factors of 2063

List of positive integer factors of 2063 that divides 2063 without a remainder.

1, 2063

Least Common Multiple of 2058 and 2063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2058 and 2063, than apply into the LCM equation.

GCF(2058,2063) = 1
LCM(2058,2063) = ( 2058 × 2063) / 1
LCM(2058,2063) = 4245654 / 1
LCM(2058,2063) = 4245654

Properties of LCM 2058 and 2063

(i) The LCM of 2063 and 2058 is associative

LCM of 2058 and 2063 = LCM of 2063 and 2058

Related Least Common Multiples of 2058

Related Least Common Multiples of 2063

Frequently Asked Questions on LCM of 2058 and 2063

1. What is the LCM of 2058 and 2063?

Answer: LCM of 2058 and 2063 is 4245654.

2. 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.

3. What are the Factors of 2063?

Answer: Factors of 2063 are 1, 2063. There are 2 integers that are factors of 2063. The greatest factor of 2063 is 2063.

4. How to Find the LCM of 2058 and 2063?

Answer:

Least Common Multiple of 2058 and 2063 = 4245654

Step 1: Find the prime factorization of 2058

2058 = 2 x 3 x 7 x 7 x 7

Step 2: Find the prime factorization of 2063

2063 = 2063

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

LCM = 4245654 = 2 x 3 x 7 x 7 x 7 x 2063

Step 4: Therefore, the least common multiple of 2058 and 2063 is 4245654.