Least Common Multiple of 2058 and 2062

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 2062 the smallest integer that is 2121798 that is divisible by both numbers.

Least Common Multiple (LCM) of 2058 and 2062 is 2121798.

LCM(2058,2062) = 2121798

LCM of 2058 and 2062

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

LCM of:
and

Least Common Multiple of 2058 and 2062

LCM of 2058 and 2062 is 2121798

Least common multiple can be found by multiplying the highest exponent prime factors of 2058 and 2062. First we will calculate the prime factors of 2058 and 2062.

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 2062


2 2062
1031 1031
1

Prime factors of 2062 are 2,1031. Prime factorization of 2062 in exponential form is:

2062 = 21×10311

Now multiplying the highest exponent prime factors to calculate the LCM of 2058 and 2062.

LCM(2058,2062) = 21×31×73×10311
LCM(2058,2062) = 2121798

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 2062

List of positive integer factors of 2062 that divides 2062 without a remainder.

1, 2, 1031, 2062

Least Common Multiple of 2058 and 2062 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 2062, than apply into the LCM equation.

GCF(2058,2062) = 2
LCM(2058,2062) = ( 2058 × 2062) / 2
LCM(2058,2062) = 4243596 / 2
LCM(2058,2062) = 2121798

Properties of LCM 2058 and 2062

(i) The LCM of 2062 and 2058 is associative

LCM of 2058 and 2062 = LCM of 2062 and 2058

Related Least Common Multiples of 2058

Related Least Common Multiples of 2062

Frequently Asked Questions on LCM of 2058 and 2062

1. What is the LCM of 2058 and 2062?

Answer: LCM of 2058 and 2062 is 2121798.

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 2062?

Answer: Factors of 2062 are 1, 2, 1031, 2062. There are 4 integers that are factors of 2062. The greatest factor of 2062 is 2062.

4. How to Find the LCM of 2058 and 2062?

Answer:

Least Common Multiple of 2058 and 2062 = 2121798

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 2062

2062 = 2 x 1031

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

LCM = 2121798 = 2 x 3 x 7 x 7 x 7 x 1031

Step 4: Therefore, the least common multiple of 2058 and 2062 is 2121798.