Least Common Multiple of 7095 and 7101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7095 and 7101 the smallest integer that is 16793865 that is divisible by both numbers.

Least Common Multiple (LCM) of 7095 and 7101 is 16793865.

LCM(7095,7101) = 16793865

LCM of 7095 and 7101

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

LCM of:
and

Least Common Multiple of 7095 and 7101

LCM of 7095 and 7101 is 16793865

Least common multiple can be found by multiplying the highest exponent prime factors of 7095 and 7101. First we will calculate the prime factors of 7095 and 7101.

Prime Factorization of 7095


3 7095
5 2365
11 473
43 43
1

Prime factors of 7095 are 3, 5, 11,43. Prime factorization of 7095 in exponential form is:

7095 = 31×51×111×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7095 and 7101.

LCM(7095,7101) = 33×51×111×431×2631
LCM(7095,7101) = 16793865

Factors of 7095

List of positive integer factors of 7095 that divides 7095 without a remainder.

1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095

Factors of 7101

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

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

Least Common Multiple of 7095 and 7101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7095 and 7101, than apply into the LCM equation.

GCF(7095,7101) = 3
LCM(7095,7101) = ( 7095 × 7101) / 3
LCM(7095,7101) = 50381595 / 3
LCM(7095,7101) = 16793865

Properties of LCM 7095 and 7101

(i) The LCM of 7101 and 7095 is associative

LCM of 7095 and 7101 = LCM of 7101 and 7095

Related Least Common Multiples of 7095

Related Least Common Multiples of 7101

Frequently Asked Questions on LCM of 7095 and 7101

1. What is the LCM of 7095 and 7101?

Answer: LCM of 7095 and 7101 is 16793865.

2. What are the Factors of 7095?

Answer: Factors of 7095 are 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095. There are 16 integers that are factors of 7095. The greatest factor of 7095 is 7095.

3. 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.

4. How to Find the LCM of 7095 and 7101?

Answer:

Least Common Multiple of 7095 and 7101 = 16793865

Step 1: Find the prime factorization of 7095

7095 = 3 x 5 x 11 x 43

Step 2: Find the prime factorization of 7101

7101 = 3 x 3 x 3 x 263

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

LCM = 16793865 = 3 x 3 x 3 x 5 x 11 x 43 x 263

Step 4: Therefore, the least common multiple of 7095 and 7101 is 16793865.