Least Common Multiple of 7189 and 7196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7189 and 7196 the smallest integer that is 7390292 that is divisible by both numbers.

Least Common Multiple (LCM) of 7189 and 7196 is 7390292.

LCM(7189,7196) = 7390292

LCM of 7189 and 7196

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

LCM of:
and

Least Common Multiple of 7189 and 7196

LCM of 7189 and 7196 is 7390292

Least common multiple can be found by multiplying the highest exponent prime factors of 7189 and 7196. First we will calculate the prime factors of 7189 and 7196.

Prime Factorization of 7189


7 7189
13 1027
79 79
1

Prime factors of 7189 are 7, 13,79. Prime factorization of 7189 in exponential form is:

7189 = 71×131×791

Prime Factorization of 7196


2 7196
2 3598
7 1799
257 257
1

Prime factors of 7196 are 2, 7,257. Prime factorization of 7196 in exponential form is:

7196 = 22×71×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 7189 and 7196.

LCM(7189,7196) = 22×71×131×791×2571
LCM(7189,7196) = 7390292

Factors of 7189

List of positive integer factors of 7189 that divides 7189 without a remainder.

1, 7, 13, 79, 91, 553, 1027, 7189

Factors of 7196

List of positive integer factors of 7196 that divides 7196 without a remainder.

1, 2, 4, 7, 14, 28, 257, 514, 1028, 1799, 3598, 7196

Least Common Multiple of 7189 and 7196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7189 and 7196, than apply into the LCM equation.

GCF(7189,7196) = 7
LCM(7189,7196) = ( 7189 × 7196) / 7
LCM(7189,7196) = 51732044 / 7
LCM(7189,7196) = 7390292

Properties of LCM 7189 and 7196

(i) The LCM of 7196 and 7189 is associative

LCM of 7189 and 7196 = LCM of 7196 and 7189

Related Least Common Multiples of 7189

Related Least Common Multiples of 7196

Frequently Asked Questions on LCM of 7189 and 7196

1. What is the LCM of 7189 and 7196?

Answer: LCM of 7189 and 7196 is 7390292.

2. What are the Factors of 7189?

Answer: Factors of 7189 are 1, 7, 13, 79, 91, 553, 1027, 7189. There are 8 integers that are factors of 7189. The greatest factor of 7189 is 7189.

3. What are the Factors of 7196?

Answer: Factors of 7196 are 1, 2, 4, 7, 14, 28, 257, 514, 1028, 1799, 3598, 7196. There are 12 integers that are factors of 7196. The greatest factor of 7196 is 7196.

4. How to Find the LCM of 7189 and 7196?

Answer:

Least Common Multiple of 7189 and 7196 = 7390292

Step 1: Find the prime factorization of 7189

7189 = 7 x 13 x 79

Step 2: Find the prime factorization of 7196

7196 = 2 x 2 x 7 x 257

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

LCM = 7390292 = 2 x 2 x 7 x 13 x 79 x 257

Step 4: Therefore, the least common multiple of 7189 and 7196 is 7390292.