Least Common Multiple of 7196 and 7201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7196 and 7201 the smallest integer that is 51818396 that is divisible by both numbers.

Least Common Multiple (LCM) of 7196 and 7201 is 51818396.

LCM(7196,7201) = 51818396

LCM of 7196 and 7201

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

LCM of:
and

Least Common Multiple of 7196 and 7201

LCM of 7196 and 7201 is 51818396

Least common multiple can be found by multiplying the highest exponent prime factors of 7196 and 7201. First we will calculate the prime factors of 7196 and 7201.

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

Prime Factorization of 7201


19 7201
379 379
1

Prime factors of 7201 are 19,379. Prime factorization of 7201 in exponential form is:

7201 = 191×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 7196 and 7201.

LCM(7196,7201) = 22×71×191×2571×3791
LCM(7196,7201) = 51818396

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

Factors of 7201

List of positive integer factors of 7201 that divides 7201 without a remainder.

1, 19, 379, 7201

Least Common Multiple of 7196 and 7201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7196 and 7201, than apply into the LCM equation.

GCF(7196,7201) = 1
LCM(7196,7201) = ( 7196 × 7201) / 1
LCM(7196,7201) = 51818396 / 1
LCM(7196,7201) = 51818396

Properties of LCM 7196 and 7201

(i) The LCM of 7201 and 7196 is associative

LCM of 7196 and 7201 = LCM of 7201 and 7196

Related Least Common Multiples of 7196

Related Least Common Multiples of 7201

Frequently Asked Questions on LCM of 7196 and 7201

1. What is the LCM of 7196 and 7201?

Answer: LCM of 7196 and 7201 is 51818396.

2. 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.

3. What are the Factors of 7201?

Answer: Factors of 7201 are 1, 19, 379, 7201. There are 4 integers that are factors of 7201. The greatest factor of 7201 is 7201.

4. How to Find the LCM of 7196 and 7201?

Answer:

Least Common Multiple of 7196 and 7201 = 51818396

Step 1: Find the prime factorization of 7196

7196 = 2 x 2 x 7 x 257

Step 2: Find the prime factorization of 7201

7201 = 19 x 379

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

LCM = 51818396 = 2 x 2 x 7 x 19 x 257 x 379

Step 4: Therefore, the least common multiple of 7196 and 7201 is 51818396.