Least Common Multiple of 7098 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 7098 and 7104 the smallest integer that is 8404032 that is divisible by both numbers.

Least Common Multiple (LCM) of 7098 and 7104 is 8404032.

LCM(7098,7104) = 8404032

LCM of 7098 and 7104

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

LCM of:
and

Least Common Multiple of 7098 and 7104

LCM of 7098 and 7104 is 8404032

Least common multiple can be found by multiplying the highest exponent prime factors of 7098 and 7104. First we will calculate the prime factors of 7098 and 7104.

Prime Factorization of 7098


2 7098
3 3549
7 1183
13 169
13 13
1

Prime factors of 7098 are 2, 3, 7,13. Prime factorization of 7098 in exponential form is:

7098 = 21×31×71×132

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 7098 and 7104.

LCM(7098,7104) = 26×31×71×132×371
LCM(7098,7104) = 8404032

Factors of 7098

List of positive integer factors of 7098 that divides 7098 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098

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 7098 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 7098 and 7104, than apply into the LCM equation.

GCF(7098,7104) = 6
LCM(7098,7104) = ( 7098 × 7104) / 6
LCM(7098,7104) = 50424192 / 6
LCM(7098,7104) = 8404032

Properties of LCM 7098 and 7104

(i) The LCM of 7104 and 7098 is associative

LCM of 7098 and 7104 = LCM of 7104 and 7098

Related Least Common Multiples of 7098

Related Least Common Multiples of 7104

Frequently Asked Questions on LCM of 7098 and 7104

1. What is the LCM of 7098 and 7104?

Answer: LCM of 7098 and 7104 is 8404032.

2. What are the Factors of 7098?

Answer: Factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098. There are 24 integers that are factors of 7098. The greatest factor of 7098 is 7098.

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 7098 and 7104?

Answer:

Least Common Multiple of 7098 and 7104 = 8404032

Step 1: Find the prime factorization of 7098

7098 = 2 x 3 x 7 x 13 x 13

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 = 8404032 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 13 x 37

Step 4: Therefore, the least common multiple of 7098 and 7104 is 8404032.