Least Common Multiple of 7101 and 7107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7101 and 7107 the smallest integer that is 16822269 that is divisible by both numbers.

Least Common Multiple (LCM) of 7101 and 7107 is 16822269.

LCM(7101,7107) = 16822269

LCM of 7101 and 7107

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

LCM of:
and

Least Common Multiple of 7101 and 7107

LCM of 7101 and 7107 is 16822269

Least common multiple can be found by multiplying the highest exponent prime factors of 7101 and 7107. First we will calculate the prime factors of 7101 and 7107.

Prime Factorization of 7101


3 7101
3 2367
3 789
263 263
1

Prime factors of 7101 are 3,263. Prime factorization of 7101 in exponential form is:

7101 = 33×2631

Prime Factorization of 7107


3 7107
23 2369
103 103
1

Prime factors of 7107 are 3, 23,103. Prime factorization of 7107 in exponential form is:

7107 = 31×231×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 7101 and 7107.

LCM(7101,7107) = 33×231×1031×2631
LCM(7101,7107) = 16822269

Factors of 7101

List of positive integer factors of 7101 that divides 7101 without a remainder.

1, 3, 9, 27, 263, 789, 2367, 7101

Factors of 7107

List of positive integer factors of 7107 that divides 7107 without a remainder.

1, 3, 23, 69, 103, 309, 2369, 7107

Least Common Multiple of 7101 and 7107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7101 and 7107, than apply into the LCM equation.

GCF(7101,7107) = 3
LCM(7101,7107) = ( 7101 × 7107) / 3
LCM(7101,7107) = 50466807 / 3
LCM(7101,7107) = 16822269

Properties of LCM 7101 and 7107

(i) The LCM of 7107 and 7101 is associative

LCM of 7101 and 7107 = LCM of 7107 and 7101

Related Least Common Multiples of 7101

Related Least Common Multiples of 7107

Frequently Asked Questions on LCM of 7101 and 7107

1. What is the LCM of 7101 and 7107?

Answer: LCM of 7101 and 7107 is 16822269.

2. What are the Factors of 7101?

Answer: Factors of 7101 are 1, 3, 9, 27, 263, 789, 2367, 7101. There are 8 integers that are factors of 7101. The greatest factor of 7101 is 7101.

3. What are the Factors of 7107?

Answer: Factors of 7107 are 1, 3, 23, 69, 103, 309, 2369, 7107. There are 8 integers that are factors of 7107. The greatest factor of 7107 is 7107.

4. How to Find the LCM of 7101 and 7107?

Answer:

Least Common Multiple of 7101 and 7107 = 16822269

Step 1: Find the prime factorization of 7101

7101 = 3 x 3 x 3 x 263

Step 2: Find the prime factorization of 7107

7107 = 3 x 23 x 103

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

LCM = 16822269 = 3 x 3 x 3 x 23 x 103 x 263

Step 4: Therefore, the least common multiple of 7101 and 7107 is 16822269.