Least Common Multiple of 7100 and 7105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7100 and 7105 the smallest integer that is 10089100 that is divisible by both numbers.

Least Common Multiple (LCM) of 7100 and 7105 is 10089100.

LCM(7100,7105) = 10089100

LCM of 7100 and 7105

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

LCM of:
and

Least Common Multiple of 7100 and 7105

LCM of 7100 and 7105 is 10089100

Least common multiple can be found by multiplying the highest exponent prime factors of 7100 and 7105. First we will calculate the prime factors of 7100 and 7105.

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

Prime Factorization of 7105


5 7105
7 1421
7 203
29 29
1

Prime factors of 7105 are 5, 7,29. Prime factorization of 7105 in exponential form is:

7105 = 51×72×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7100 and 7105.

LCM(7100,7105) = 22×52×72×291×711
LCM(7100,7105) = 10089100

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

Factors of 7105

List of positive integer factors of 7105 that divides 7105 without a remainder.

1, 5, 7, 29, 35, 49, 145, 203, 245, 1015, 1421, 7105

Least Common Multiple of 7100 and 7105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7100 and 7105, than apply into the LCM equation.

GCF(7100,7105) = 5
LCM(7100,7105) = ( 7100 × 7105) / 5
LCM(7100,7105) = 50445500 / 5
LCM(7100,7105) = 10089100

Properties of LCM 7100 and 7105

(i) The LCM of 7105 and 7100 is associative

LCM of 7100 and 7105 = LCM of 7105 and 7100

Related Least Common Multiples of 7100

Related Least Common Multiples of 7105

Frequently Asked Questions on LCM of 7100 and 7105

1. What is the LCM of 7100 and 7105?

Answer: LCM of 7100 and 7105 is 10089100.

2. 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.

3. What are the Factors of 7105?

Answer: Factors of 7105 are 1, 5, 7, 29, 35, 49, 145, 203, 245, 1015, 1421, 7105. There are 12 integers that are factors of 7105. The greatest factor of 7105 is 7105.

4. How to Find the LCM of 7100 and 7105?

Answer:

Least Common Multiple of 7100 and 7105 = 10089100

Step 1: Find the prime factorization of 7100

7100 = 2 x 2 x 5 x 5 x 71

Step 2: Find the prime factorization of 7105

7105 = 5 x 7 x 7 x 29

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

LCM = 10089100 = 2 x 2 x 5 x 5 x 7 x 7 x 29 x 71

Step 4: Therefore, the least common multiple of 7100 and 7105 is 10089100.