Least Common Multiple of 7095 and 7100

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 7100 the smallest integer that is 10074900 that is divisible by both numbers.

Least Common Multiple (LCM) of 7095 and 7100 is 10074900.

LCM(7095,7100) = 10074900

LCM of 7095 and 7100

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

LCM of:
and

Least Common Multiple of 7095 and 7100

LCM of 7095 and 7100 is 10074900

Least common multiple can be found by multiplying the highest exponent prime factors of 7095 and 7100. First we will calculate the prime factors of 7095 and 7100.

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 7100


2 7100
2 3550
5 1775
5 355
71 71
1

Prime factors of 7100 are 2, 5,71. Prime factorization of 7100 in exponential form is:

7100 = 22×52×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7095 and 7100.

LCM(7095,7100) = 22×31×52×111×431×711
LCM(7095,7100) = 10074900

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 7100

List of positive integer factors of 7100 that divides 7100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100

Least Common Multiple of 7095 and 7100 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 7100, than apply into the LCM equation.

GCF(7095,7100) = 5
LCM(7095,7100) = ( 7095 × 7100) / 5
LCM(7095,7100) = 50374500 / 5
LCM(7095,7100) = 10074900

Properties of LCM 7095 and 7100

(i) The LCM of 7100 and 7095 is associative

LCM of 7095 and 7100 = LCM of 7100 and 7095

Related Least Common Multiples of 7095

Related Least Common Multiples of 7100

Frequently Asked Questions on LCM of 7095 and 7100

1. What is the LCM of 7095 and 7100?

Answer: LCM of 7095 and 7100 is 10074900.

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 7100?

Answer: Factors of 7100 are 1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100. There are 18 integers that are factors of 7100. The greatest factor of 7100 is 7100.

4. How to Find the LCM of 7095 and 7100?

Answer:

Least Common Multiple of 7095 and 7100 = 10074900

Step 1: Find the prime factorization of 7095

7095 = 3 x 5 x 11 x 43

Step 2: Find the prime factorization of 7100

7100 = 2 x 2 x 5 x 5 x 71

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

LCM = 10074900 = 2 x 2 x 3 x 5 x 5 x 11 x 43 x 71

Step 4: Therefore, the least common multiple of 7095 and 7100 is 10074900.