Least Common Multiple of 2093 and 2098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2093 and 2098 the smallest integer that is 4391114 that is divisible by both numbers.

Least Common Multiple (LCM) of 2093 and 2098 is 4391114.

LCM(2093,2098) = 4391114

LCM of 2093 and 2098

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

LCM of:
and

Least Common Multiple of 2093 and 2098

LCM of 2093 and 2098 is 4391114

Least common multiple can be found by multiplying the highest exponent prime factors of 2093 and 2098. First we will calculate the prime factors of 2093 and 2098.

Prime Factorization of 2093


7 2093
13 299
23 23
1

Prime factors of 2093 are 7, 13,23. Prime factorization of 2093 in exponential form is:

2093 = 71×131×231

Prime Factorization of 2098


2 2098
1049 1049
1

Prime factors of 2098 are 2,1049. Prime factorization of 2098 in exponential form is:

2098 = 21×10491

Now multiplying the highest exponent prime factors to calculate the LCM of 2093 and 2098.

LCM(2093,2098) = 21×71×131×231×10491
LCM(2093,2098) = 4391114

Factors of 2093

List of positive integer factors of 2093 that divides 2093 without a remainder.

1, 7, 13, 23, 91, 161, 299, 2093

Factors of 2098

List of positive integer factors of 2098 that divides 2098 without a remainder.

1, 2, 1049, 2098

Least Common Multiple of 2093 and 2098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2093 and 2098, than apply into the LCM equation.

GCF(2093,2098) = 1
LCM(2093,2098) = ( 2093 × 2098) / 1
LCM(2093,2098) = 4391114 / 1
LCM(2093,2098) = 4391114

Properties of LCM 2093 and 2098

(i) The LCM of 2098 and 2093 is associative

LCM of 2093 and 2098 = LCM of 2098 and 2093

Related Least Common Multiples of 2093

Related Least Common Multiples of 2098

Frequently Asked Questions on LCM of 2093 and 2098

1. What is the LCM of 2093 and 2098?

Answer: LCM of 2093 and 2098 is 4391114.

2. What are the Factors of 2093?

Answer: Factors of 2093 are 1, 7, 13, 23, 91, 161, 299, 2093. There are 8 integers that are factors of 2093. The greatest factor of 2093 is 2093.

3. What are the Factors of 2098?

Answer: Factors of 2098 are 1, 2, 1049, 2098. There are 4 integers that are factors of 2098. The greatest factor of 2098 is 2098.

4. How to Find the LCM of 2093 and 2098?

Answer:

Least Common Multiple of 2093 and 2098 = 4391114

Step 1: Find the prime factorization of 2093

2093 = 7 x 13 x 23

Step 2: Find the prime factorization of 2098

2098 = 2 x 1049

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

LCM = 4391114 = 2 x 7 x 13 x 23 x 1049

Step 4: Therefore, the least common multiple of 2093 and 2098 is 4391114.