Least Common Multiple of 2054 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 2054 and 2058 the smallest integer that is 2113566 that is divisible by both numbers.

Least Common Multiple (LCM) of 2054 and 2058 is 2113566.

LCM(2054,2058) = 2113566

LCM of 2054 and 2058

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

LCM of:
and

Least Common Multiple of 2054 and 2058

LCM of 2054 and 2058 is 2113566

Least common multiple can be found by multiplying the highest exponent prime factors of 2054 and 2058. First we will calculate the prime factors of 2054 and 2058.

Prime Factorization of 2054


2 2054
13 1027
79 79
1

Prime factors of 2054 are 2, 13,79. Prime factorization of 2054 in exponential form is:

2054 = 21×131×791

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 2054 and 2058.

LCM(2054,2058) = 21×31×73×131×791
LCM(2054,2058) = 2113566

Factors of 2054

List of positive integer factors of 2054 that divides 2054 without a remainder.

1, 2, 13, 26, 79, 158, 1027, 2054

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 2054 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 2054 and 2058, than apply into the LCM equation.

GCF(2054,2058) = 2
LCM(2054,2058) = ( 2054 × 2058) / 2
LCM(2054,2058) = 4227132 / 2
LCM(2054,2058) = 2113566

Properties of LCM 2054 and 2058

(i) The LCM of 2058 and 2054 is associative

LCM of 2054 and 2058 = LCM of 2058 and 2054

Related Least Common Multiples of 2054

Related Least Common Multiples of 2058

Frequently Asked Questions on LCM of 2054 and 2058

1. What is the LCM of 2054 and 2058?

Answer: LCM of 2054 and 2058 is 2113566.

2. What are the Factors of 2054?

Answer: Factors of 2054 are 1, 2, 13, 26, 79, 158, 1027, 2054. There are 8 integers that are factors of 2054. The greatest factor of 2054 is 2054.

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 2054 and 2058?

Answer:

Least Common Multiple of 2054 and 2058 = 2113566

Step 1: Find the prime factorization of 2054

2054 = 2 x 13 x 79

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 = 2113566 = 2 x 3 x 7 x 7 x 7 x 13 x 79

Step 4: Therefore, the least common multiple of 2054 and 2058 is 2113566.