Least Common Multiple of 15196 and 15201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15196 and 15201 the smallest integer that is 230994396 that is divisible by both numbers.

Least Common Multiple (LCM) of 15196 and 15201 is 230994396.

LCM(15196,15201) = 230994396

LCM of 15196 and 15201

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

LCM of:
and

Least Common Multiple of 15196 and 15201

LCM of 15196 and 15201 is 230994396

Least common multiple can be found by multiplying the highest exponent prime factors of 15196 and 15201. First we will calculate the prime factors of 15196 and 15201.

Prime Factorization of 15196


2 15196
2 7598
29 3799
131 131
1

Prime factors of 15196 are 2, 29,131. Prime factorization of 15196 in exponential form is:

15196 = 22×291×1311

Prime Factorization of 15201


3 15201
3 5067
3 1689
563 563
1

Prime factors of 15201 are 3,563. Prime factorization of 15201 in exponential form is:

15201 = 33×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 15196 and 15201.

LCM(15196,15201) = 22×33×291×1311×5631
LCM(15196,15201) = 230994396

Factors of 15196

List of positive integer factors of 15196 that divides 15196 without a remainder.

1, 2, 4, 29, 58, 116, 131, 262, 524, 3799, 7598, 15196

Factors of 15201

List of positive integer factors of 15201 that divides 15201 without a remainder.

1, 3, 9, 27, 563, 1689, 5067, 15201

Least Common Multiple of 15196 and 15201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15196 and 15201, than apply into the LCM equation.

GCF(15196,15201) = 1
LCM(15196,15201) = ( 15196 × 15201) / 1
LCM(15196,15201) = 230994396 / 1
LCM(15196,15201) = 230994396

Properties of LCM 15196 and 15201

(i) The LCM of 15201 and 15196 is associative

LCM of 15196 and 15201 = LCM of 15201 and 15196

Related Least Common Multiples of 15196

Related Least Common Multiples of 15201

Frequently Asked Questions on LCM of 15196 and 15201

1. What is the LCM of 15196 and 15201?

Answer: LCM of 15196 and 15201 is 230994396.

2. What are the Factors of 15196?

Answer: Factors of 15196 are 1, 2, 4, 29, 58, 116, 131, 262, 524, 3799, 7598, 15196. There are 12 integers that are factors of 15196. The greatest factor of 15196 is 15196.

3. What are the Factors of 15201?

Answer: Factors of 15201 are 1, 3, 9, 27, 563, 1689, 5067, 15201. There are 8 integers that are factors of 15201. The greatest factor of 15201 is 15201.

4. How to Find the LCM of 15196 and 15201?

Answer:

Least Common Multiple of 15196 and 15201 = 230994396

Step 1: Find the prime factorization of 15196

15196 = 2 x 2 x 29 x 131

Step 2: Find the prime factorization of 15201

15201 = 3 x 3 x 3 x 563

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

LCM = 230994396 = 2 x 2 x 3 x 3 x 3 x 29 x 131 x 563

Step 4: Therefore, the least common multiple of 15196 and 15201 is 230994396.