Least Common Multiple of 7100 and 7104

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 7104 the smallest integer that is 12609600 that is divisible by both numbers.

Least Common Multiple (LCM) of 7100 and 7104 is 12609600.

LCM(7100,7104) = 12609600

LCM of 7100 and 7104

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

LCM of:
and

Least Common Multiple of 7100 and 7104

LCM of 7100 and 7104 is 12609600

Least common multiple can be found by multiplying the highest exponent prime factors of 7100 and 7104. First we will calculate the prime factors of 7100 and 7104.

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 7104


2 7104
2 3552
2 1776
2 888
2 444
2 222
3 111
37 37
1

Prime factors of 7104 are 2, 3,37. Prime factorization of 7104 in exponential form is:

7104 = 26×31×371

Now multiplying the highest exponent prime factors to calculate the LCM of 7100 and 7104.

LCM(7100,7104) = 26×31×52×371×711
LCM(7100,7104) = 12609600

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 7104

List of positive integer factors of 7104 that divides 7104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552, 7104

Least Common Multiple of 7100 and 7104 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 7104, than apply into the LCM equation.

GCF(7100,7104) = 4
LCM(7100,7104) = ( 7100 × 7104) / 4
LCM(7100,7104) = 50438400 / 4
LCM(7100,7104) = 12609600

Properties of LCM 7100 and 7104

(i) The LCM of 7104 and 7100 is associative

LCM of 7100 and 7104 = LCM of 7104 and 7100

Related Least Common Multiples of 7100

Related Least Common Multiples of 7104

Frequently Asked Questions on LCM of 7100 and 7104

1. What is the LCM of 7100 and 7104?

Answer: LCM of 7100 and 7104 is 12609600.

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 7104?

Answer: Factors of 7104 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552, 7104. There are 28 integers that are factors of 7104. The greatest factor of 7104 is 7104.

4. How to Find the LCM of 7100 and 7104?

Answer:

Least Common Multiple of 7100 and 7104 = 12609600

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 7104

7104 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37

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

LCM = 12609600 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 37 x 71

Step 4: Therefore, the least common multiple of 7100 and 7104 is 12609600.