Least Common Multiple of 7191 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 7191 and 7196 the smallest integer that is 51746436 that is divisible by both numbers.

Least Common Multiple (LCM) of 7191 and 7196 is 51746436.

LCM(7191,7196) = 51746436

LCM of 7191 and 7196

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

LCM of:
and

Least Common Multiple of 7191 and 7196

LCM of 7191 and 7196 is 51746436

Least common multiple can be found by multiplying the highest exponent prime factors of 7191 and 7196. First we will calculate the prime factors of 7191 and 7196.

Prime Factorization of 7191


3 7191
3 2397
17 799
47 47
1

Prime factors of 7191 are 3, 17,47. Prime factorization of 7191 in exponential form is:

7191 = 32×171×471

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 7191 and 7196.

LCM(7191,7196) = 22×32×71×171×471×2571
LCM(7191,7196) = 51746436

Factors of 7191

List of positive integer factors of 7191 that divides 7191 without a remainder.

1, 3, 9, 17, 47, 51, 141, 153, 423, 799, 2397, 7191

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 7191 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 7191 and 7196, than apply into the LCM equation.

GCF(7191,7196) = 1
LCM(7191,7196) = ( 7191 × 7196) / 1
LCM(7191,7196) = 51746436 / 1
LCM(7191,7196) = 51746436

Properties of LCM 7191 and 7196

(i) The LCM of 7196 and 7191 is associative

LCM of 7191 and 7196 = LCM of 7196 and 7191

Related Least Common Multiples of 7191

Related Least Common Multiples of 7196

Frequently Asked Questions on LCM of 7191 and 7196

1. What is the LCM of 7191 and 7196?

Answer: LCM of 7191 and 7196 is 51746436.

2. What are the Factors of 7191?

Answer: Factors of 7191 are 1, 3, 9, 17, 47, 51, 141, 153, 423, 799, 2397, 7191. There are 12 integers that are factors of 7191. The greatest factor of 7191 is 7191.

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 7191 and 7196?

Answer:

Least Common Multiple of 7191 and 7196 = 51746436

Step 1: Find the prime factorization of 7191

7191 = 3 x 3 x 17 x 47

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 = 51746436 = 2 x 2 x 3 x 3 x 7 x 17 x 47 x 257

Step 4: Therefore, the least common multiple of 7191 and 7196 is 51746436.