Least Common Multiple of 7096 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 7096 and 7104 the smallest integer that is 6301248 that is divisible by both numbers.

Least Common Multiple (LCM) of 7096 and 7104 is 6301248.

LCM(7096,7104) = 6301248

LCM of 7096 and 7104

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

LCM of:
and

Least Common Multiple of 7096 and 7104

LCM of 7096 and 7104 is 6301248

Least common multiple can be found by multiplying the highest exponent prime factors of 7096 and 7104. First we will calculate the prime factors of 7096 and 7104.

Prime Factorization of 7096


2 7096
2 3548
2 1774
887 887
1

Prime factors of 7096 are 2,887. Prime factorization of 7096 in exponential form is:

7096 = 23×8871

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 7096 and 7104.

LCM(7096,7104) = 26×31×371×8871
LCM(7096,7104) = 6301248

Factors of 7096

List of positive integer factors of 7096 that divides 7096 without a remainder.

1, 2, 4, 8, 887, 1774, 3548, 7096

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 7096 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 7096 and 7104, than apply into the LCM equation.

GCF(7096,7104) = 8
LCM(7096,7104) = ( 7096 × 7104) / 8
LCM(7096,7104) = 50409984 / 8
LCM(7096,7104) = 6301248

Properties of LCM 7096 and 7104

(i) The LCM of 7104 and 7096 is associative

LCM of 7096 and 7104 = LCM of 7104 and 7096

Related Least Common Multiples of 7096

Related Least Common Multiples of 7104

Frequently Asked Questions on LCM of 7096 and 7104

1. What is the LCM of 7096 and 7104?

Answer: LCM of 7096 and 7104 is 6301248.

2. What are the Factors of 7096?

Answer: Factors of 7096 are 1, 2, 4, 8, 887, 1774, 3548, 7096. There are 8 integers that are factors of 7096. The greatest factor of 7096 is 7096.

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 7096 and 7104?

Answer:

Least Common Multiple of 7096 and 7104 = 6301248

Step 1: Find the prime factorization of 7096

7096 = 2 x 2 x 2 x 887

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 = 6301248 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37 x 887

Step 4: Therefore, the least common multiple of 7096 and 7104 is 6301248.