Least Common Multiple of 7098 and 7102

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 7102 the smallest integer that is 25204998 that is divisible by both numbers.

Least Common Multiple (LCM) of 7098 and 7102 is 25204998.

LCM(7098,7102) = 25204998

LCM of 7098 and 7102

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

LCM of:
and

Least Common Multiple of 7098 and 7102

LCM of 7098 and 7102 is 25204998

Least common multiple can be found by multiplying the highest exponent prime factors of 7098 and 7102. First we will calculate the prime factors of 7098 and 7102.

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 7102


2 7102
53 3551
67 67
1

Prime factors of 7102 are 2, 53,67. Prime factorization of 7102 in exponential form is:

7102 = 21×531×671

Now multiplying the highest exponent prime factors to calculate the LCM of 7098 and 7102.

LCM(7098,7102) = 21×31×71×132×531×671
LCM(7098,7102) = 25204998

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 7102

List of positive integer factors of 7102 that divides 7102 without a remainder.

1, 2, 53, 67, 106, 134, 3551, 7102

Least Common Multiple of 7098 and 7102 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 7102, than apply into the LCM equation.

GCF(7098,7102) = 2
LCM(7098,7102) = ( 7098 × 7102) / 2
LCM(7098,7102) = 50409996 / 2
LCM(7098,7102) = 25204998

Properties of LCM 7098 and 7102

(i) The LCM of 7102 and 7098 is associative

LCM of 7098 and 7102 = LCM of 7102 and 7098

Related Least Common Multiples of 7098

Related Least Common Multiples of 7102

Frequently Asked Questions on LCM of 7098 and 7102

1. What is the LCM of 7098 and 7102?

Answer: LCM of 7098 and 7102 is 25204998.

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 7102?

Answer: Factors of 7102 are 1, 2, 53, 67, 106, 134, 3551, 7102. There are 8 integers that are factors of 7102. The greatest factor of 7102 is 7102.

4. How to Find the LCM of 7098 and 7102?

Answer:

Least Common Multiple of 7098 and 7102 = 25204998

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 7102

7102 = 2 x 53 x 67

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

LCM = 25204998 = 2 x 3 x 7 x 13 x 13 x 53 x 67

Step 4: Therefore, the least common multiple of 7098 and 7102 is 25204998.