Least Common Multiple of 7098 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 7098 and 7105 the smallest integer that is 7204470 that is divisible by both numbers.

Least Common Multiple (LCM) of 7098 and 7105 is 7204470.

LCM(7098,7105) = 7204470

LCM of 7098 and 7105

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

LCM of:
and

Least Common Multiple of 7098 and 7105

LCM of 7098 and 7105 is 7204470

Least common multiple can be found by multiplying the highest exponent prime factors of 7098 and 7105. First we will calculate the prime factors of 7098 and 7105.

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 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 7098 and 7105.

LCM(7098,7105) = 21×31×51×72×132×291
LCM(7098,7105) = 7204470

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 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 7098 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 7098 and 7105, than apply into the LCM equation.

GCF(7098,7105) = 7
LCM(7098,7105) = ( 7098 × 7105) / 7
LCM(7098,7105) = 50431290 / 7
LCM(7098,7105) = 7204470

Properties of LCM 7098 and 7105

(i) The LCM of 7105 and 7098 is associative

LCM of 7098 and 7105 = LCM of 7105 and 7098

Related Least Common Multiples of 7098

Related Least Common Multiples of 7105

Frequently Asked Questions on LCM of 7098 and 7105

1. What is the LCM of 7098 and 7105?

Answer: LCM of 7098 and 7105 is 7204470.

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 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 7098 and 7105?

Answer:

Least Common Multiple of 7098 and 7105 = 7204470

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 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 = 7204470 = 2 x 3 x 5 x 7 x 7 x 13 x 13 x 29

Step 4: Therefore, the least common multiple of 7098 and 7105 is 7204470.