Least Common Multiple of 7192 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 7192 and 7198 the smallest integer that is 25884008 that is divisible by both numbers.

Least Common Multiple (LCM) of 7192 and 7198 is 25884008.

LCM(7192,7198) = 25884008

LCM of 7192 and 7198

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

LCM of:
and

Least Common Multiple of 7192 and 7198

LCM of 7192 and 7198 is 25884008

Least common multiple can be found by multiplying the highest exponent prime factors of 7192 and 7198. First we will calculate the prime factors of 7192 and 7198.

Prime Factorization of 7192


2 7192
2 3596
2 1798
29 899
31 31
1

Prime factors of 7192 are 2, 29,31. Prime factorization of 7192 in exponential form is:

7192 = 23×291×311

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 7192 and 7198.

LCM(7192,7198) = 23×291×311×591×611
LCM(7192,7198) = 25884008

Factors of 7192

List of positive integer factors of 7192 that divides 7192 without a remainder.

1, 2, 4, 8, 29, 31, 58, 62, 116, 124, 232, 248, 899, 1798, 3596, 7192

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 7192 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 7192 and 7198, than apply into the LCM equation.

GCF(7192,7198) = 2
LCM(7192,7198) = ( 7192 × 7198) / 2
LCM(7192,7198) = 51768016 / 2
LCM(7192,7198) = 25884008

Properties of LCM 7192 and 7198

(i) The LCM of 7198 and 7192 is associative

LCM of 7192 and 7198 = LCM of 7198 and 7192

Related Least Common Multiples of 7192

Related Least Common Multiples of 7198

Frequently Asked Questions on LCM of 7192 and 7198

1. What is the LCM of 7192 and 7198?

Answer: LCM of 7192 and 7198 is 25884008.

2. What are the Factors of 7192?

Answer: Factors of 7192 are 1, 2, 4, 8, 29, 31, 58, 62, 116, 124, 232, 248, 899, 1798, 3596, 7192. There are 16 integers that are factors of 7192. The greatest factor of 7192 is 7192.

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 7192 and 7198?

Answer:

Least Common Multiple of 7192 and 7198 = 25884008

Step 1: Find the prime factorization of 7192

7192 = 2 x 2 x 2 x 29 x 31

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 = 25884008 = 2 x 2 x 2 x 29 x 31 x 59 x 61

Step 4: Therefore, the least common multiple of 7192 and 7198 is 25884008.