Least Common Multiple of 15196 and 15200

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 15200 the smallest integer that is 57744800 that is divisible by both numbers.

Least Common Multiple (LCM) of 15196 and 15200 is 57744800.

LCM(15196,15200) = 57744800

LCM of 15196 and 15200

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

LCM of:
and

Least Common Multiple of 15196 and 15200

LCM of 15196 and 15200 is 57744800

Least common multiple can be found by multiplying the highest exponent prime factors of 15196 and 15200. First we will calculate the prime factors of 15196 and 15200.

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 15200


2 15200
2 7600
2 3800
2 1900
2 950
5 475
5 95
19 19
1

Prime factors of 15200 are 2, 5,19. Prime factorization of 15200 in exponential form is:

15200 = 25×52×191

Now multiplying the highest exponent prime factors to calculate the LCM of 15196 and 15200.

LCM(15196,15200) = 25×52×191×291×1311
LCM(15196,15200) = 57744800

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 15200

List of positive integer factors of 15200 that divides 15200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 76, 80, 95, 100, 152, 160, 190, 200, 304, 380, 400, 475, 608, 760, 800, 950, 1520, 1900, 3040, 3800, 7600, 15200

Least Common Multiple of 15196 and 15200 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 15200, than apply into the LCM equation.

GCF(15196,15200) = 4
LCM(15196,15200) = ( 15196 × 15200) / 4
LCM(15196,15200) = 230979200 / 4
LCM(15196,15200) = 57744800

Properties of LCM 15196 and 15200

(i) The LCM of 15200 and 15196 is associative

LCM of 15196 and 15200 = LCM of 15200 and 15196

Related Least Common Multiples of 15196

Related Least Common Multiples of 15200

Frequently Asked Questions on LCM of 15196 and 15200

1. What is the LCM of 15196 and 15200?

Answer: LCM of 15196 and 15200 is 57744800.

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 15200?

Answer: Factors of 15200 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 76, 80, 95, 100, 152, 160, 190, 200, 304, 380, 400, 475, 608, 760, 800, 950, 1520, 1900, 3040, 3800, 7600, 15200. There are 36 integers that are factors of 15200. The greatest factor of 15200 is 15200.

4. How to Find the LCM of 15196 and 15200?

Answer:

Least Common Multiple of 15196 and 15200 = 57744800

Step 1: Find the prime factorization of 15196

15196 = 2 x 2 x 29 x 131

Step 2: Find the prime factorization of 15200

15200 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 19

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

LCM = 57744800 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 19 x 29 x 131

Step 4: Therefore, the least common multiple of 15196 and 15200 is 57744800.