Least Common Multiple of 2098 and 2106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2098 and 2106 the smallest integer that is 2209194 that is divisible by both numbers.

Least Common Multiple (LCM) of 2098 and 2106 is 2209194.

LCM(2098,2106) = 2209194

LCM of 2098 and 2106

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

LCM of:
and

Least Common Multiple of 2098 and 2106

LCM of 2098 and 2106 is 2209194

Least common multiple can be found by multiplying the highest exponent prime factors of 2098 and 2106. First we will calculate the prime factors of 2098 and 2106.

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

Prime Factorization of 2106


2 2106
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 2106 are 2, 3,13. Prime factorization of 2106 in exponential form is:

2106 = 21×34×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2098 and 2106.

LCM(2098,2106) = 21×34×131×10491
LCM(2098,2106) = 2209194

Factors of 2098

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

1, 2, 1049, 2098

Factors of 2106

List of positive integer factors of 2106 that divides 2106 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106

Least Common Multiple of 2098 and 2106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2098 and 2106, than apply into the LCM equation.

GCF(2098,2106) = 2
LCM(2098,2106) = ( 2098 × 2106) / 2
LCM(2098,2106) = 4418388 / 2
LCM(2098,2106) = 2209194

Properties of LCM 2098 and 2106

(i) The LCM of 2106 and 2098 is associative

LCM of 2098 and 2106 = LCM of 2106 and 2098

Related Least Common Multiples of 2098

Related Least Common Multiples of 2106

Frequently Asked Questions on LCM of 2098 and 2106

1. What is the LCM of 2098 and 2106?

Answer: LCM of 2098 and 2106 is 2209194.

2. 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.

3. What are the Factors of 2106?

Answer: Factors of 2106 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106. There are 20 integers that are factors of 2106. The greatest factor of 2106 is 2106.

4. How to Find the LCM of 2098 and 2106?

Answer:

Least Common Multiple of 2098 and 2106 = 2209194

Step 1: Find the prime factorization of 2098

2098 = 2 x 1049

Step 2: Find the prime factorization of 2106

2106 = 2 x 3 x 3 x 3 x 3 x 13

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

LCM = 2209194 = 2 x 3 x 3 x 3 x 3 x 13 x 1049

Step 4: Therefore, the least common multiple of 2098 and 2106 is 2209194.