Least Common Multiple of 7098 and 7106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7098 and 7106 the smallest integer that is 25219194 that is divisible by both numbers.

Least Common Multiple (LCM) of 7098 and 7106 is 25219194.

LCM(7098,7106) = 25219194

LCM of 7098 and 7106

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

LCM of:
and

Least Common Multiple of 7098 and 7106

LCM of 7098 and 7106 is 25219194

Least common multiple can be found by multiplying the highest exponent prime factors of 7098 and 7106. First we will calculate the prime factors of 7098 and 7106.

Prime Factorization of 7098


2 7098
3 3549
7 1183
13 169
13 13
1

Prime factors of 7098 are 2, 3, 7,13. Prime factorization of 7098 in exponential form is:

7098 = 21×31×71×132

Prime Factorization of 7106


2 7106
11 3553
17 323
19 19
1

Prime factors of 7106 are 2, 11, 17,19. Prime factorization of 7106 in exponential form is:

7106 = 21×111×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 7098 and 7106.

LCM(7098,7106) = 21×31×71×111×132×171×191
LCM(7098,7106) = 25219194

Factors of 7098

List of positive integer factors of 7098 that divides 7098 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098

Factors of 7106

List of positive integer factors of 7106 that divides 7106 without a remainder.

1, 2, 11, 17, 19, 22, 34, 38, 187, 209, 323, 374, 418, 646, 3553, 7106

Least Common Multiple of 7098 and 7106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7098 and 7106, than apply into the LCM equation.

GCF(7098,7106) = 2
LCM(7098,7106) = ( 7098 × 7106) / 2
LCM(7098,7106) = 50438388 / 2
LCM(7098,7106) = 25219194

Properties of LCM 7098 and 7106

(i) The LCM of 7106 and 7098 is associative

LCM of 7098 and 7106 = LCM of 7106 and 7098

Related Least Common Multiples of 7098

Related Least Common Multiples of 7106

Frequently Asked Questions on LCM of 7098 and 7106

1. What is the LCM of 7098 and 7106?

Answer: LCM of 7098 and 7106 is 25219194.

2. What are the Factors of 7098?

Answer: Factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098. There are 24 integers that are factors of 7098. The greatest factor of 7098 is 7098.

3. What are the Factors of 7106?

Answer: Factors of 7106 are 1, 2, 11, 17, 19, 22, 34, 38, 187, 209, 323, 374, 418, 646, 3553, 7106. There are 16 integers that are factors of 7106. The greatest factor of 7106 is 7106.

4. How to Find the LCM of 7098 and 7106?

Answer:

Least Common Multiple of 7098 and 7106 = 25219194

Step 1: Find the prime factorization of 7098

7098 = 2 x 3 x 7 x 13 x 13

Step 2: Find the prime factorization of 7106

7106 = 2 x 11 x 17 x 19

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

LCM = 25219194 = 2 x 3 x 7 x 11 x 13 x 13 x 17 x 19

Step 4: Therefore, the least common multiple of 7098 and 7106 is 25219194.