Least Common Multiple of 7099 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 7099 and 7106 the smallest integer that is 50445494 that is divisible by both numbers.

Least Common Multiple (LCM) of 7099 and 7106 is 50445494.

LCM(7099,7106) = 50445494

LCM of 7099 and 7106

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

LCM of:
and

Least Common Multiple of 7099 and 7106

LCM of 7099 and 7106 is 50445494

Least common multiple can be found by multiplying the highest exponent prime factors of 7099 and 7106. First we will calculate the prime factors of 7099 and 7106.

Prime Factorization of 7099


31 7099
229 229
1

Prime factors of 7099 are 31,229. Prime factorization of 7099 in exponential form is:

7099 = 311×2291

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 7099 and 7106.

LCM(7099,7106) = 21×111×171×191×311×2291
LCM(7099,7106) = 50445494

Factors of 7099

List of positive integer factors of 7099 that divides 7099 without a remainder.

1, 31, 229, 7099

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 7099 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 7099 and 7106, than apply into the LCM equation.

GCF(7099,7106) = 1
LCM(7099,7106) = ( 7099 × 7106) / 1
LCM(7099,7106) = 50445494 / 1
LCM(7099,7106) = 50445494

Properties of LCM 7099 and 7106

(i) The LCM of 7106 and 7099 is associative

LCM of 7099 and 7106 = LCM of 7106 and 7099

Related Least Common Multiples of 7099

Related Least Common Multiples of 7106

Frequently Asked Questions on LCM of 7099 and 7106

1. What is the LCM of 7099 and 7106?

Answer: LCM of 7099 and 7106 is 50445494.

2. What are the Factors of 7099?

Answer: Factors of 7099 are 1, 31, 229, 7099. There are 4 integers that are factors of 7099. The greatest factor of 7099 is 7099.

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 7099 and 7106?

Answer:

Least Common Multiple of 7099 and 7106 = 50445494

Step 1: Find the prime factorization of 7099

7099 = 31 x 229

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 = 50445494 = 2 x 11 x 17 x 19 x 31 x 229

Step 4: Therefore, the least common multiple of 7099 and 7106 is 50445494.