Least Common Multiple of 7190 and 7198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7190 and 7198 the smallest integer that is 25876810 that is divisible by both numbers.

Least Common Multiple (LCM) of 7190 and 7198 is 25876810.

LCM(7190,7198) = 25876810

LCM of 7190 and 7198

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

LCM of:
and

Least Common Multiple of 7190 and 7198

LCM of 7190 and 7198 is 25876810

Least common multiple can be found by multiplying the highest exponent prime factors of 7190 and 7198. First we will calculate the prime factors of 7190 and 7198.

Prime Factorization of 7190


2 7190
5 3595
719 719
1

Prime factors of 7190 are 2, 5,719. Prime factorization of 7190 in exponential form is:

7190 = 21×51×7191

Prime Factorization of 7198


2 7198
59 3599
61 61
1

Prime factors of 7198 are 2, 59,61. Prime factorization of 7198 in exponential form is:

7198 = 21×591×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7190 and 7198.

LCM(7190,7198) = 21×51×591×611×7191
LCM(7190,7198) = 25876810

Factors of 7190

List of positive integer factors of 7190 that divides 7190 without a remainder.

1, 2, 5, 10, 719, 1438, 3595, 7190

Factors of 7198

List of positive integer factors of 7198 that divides 7198 without a remainder.

1, 2, 59, 61, 118, 122, 3599, 7198

Least Common Multiple of 7190 and 7198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7190 and 7198, than apply into the LCM equation.

GCF(7190,7198) = 2
LCM(7190,7198) = ( 7190 × 7198) / 2
LCM(7190,7198) = 51753620 / 2
LCM(7190,7198) = 25876810

Properties of LCM 7190 and 7198

(i) The LCM of 7198 and 7190 is associative

LCM of 7190 and 7198 = LCM of 7198 and 7190

Related Least Common Multiples of 7190

Related Least Common Multiples of 7198

Frequently Asked Questions on LCM of 7190 and 7198

1. What is the LCM of 7190 and 7198?

Answer: LCM of 7190 and 7198 is 25876810.

2. What are the Factors of 7190?

Answer: Factors of 7190 are 1, 2, 5, 10, 719, 1438, 3595, 7190. There are 8 integers that are factors of 7190. The greatest factor of 7190 is 7190.

3. What are the Factors of 7198?

Answer: Factors of 7198 are 1, 2, 59, 61, 118, 122, 3599, 7198. There are 8 integers that are factors of 7198. The greatest factor of 7198 is 7198.

4. How to Find the LCM of 7190 and 7198?

Answer:

Least Common Multiple of 7190 and 7198 = 25876810

Step 1: Find the prime factorization of 7190

7190 = 2 x 5 x 719

Step 2: Find the prime factorization of 7198

7198 = 2 x 59 x 61

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

LCM = 25876810 = 2 x 5 x 59 x 61 x 719

Step 4: Therefore, the least common multiple of 7190 and 7198 is 25876810.