Least Common Multiple of 15196 and 15203

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 15203 the smallest integer that is 231024788 that is divisible by both numbers.

Least Common Multiple (LCM) of 15196 and 15203 is 231024788.

LCM(15196,15203) = 231024788

LCM of 15196 and 15203

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

LCM of:
and

Least Common Multiple of 15196 and 15203

LCM of 15196 and 15203 is 231024788

Least common multiple can be found by multiplying the highest exponent prime factors of 15196 and 15203. First we will calculate the prime factors of 15196 and 15203.

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 15203


23 15203
661 661
1

Prime factors of 15203 are 23,661. Prime factorization of 15203 in exponential form is:

15203 = 231×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 15196 and 15203.

LCM(15196,15203) = 22×231×291×1311×6611
LCM(15196,15203) = 231024788

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 15203

List of positive integer factors of 15203 that divides 15203 without a remainder.

1, 23, 661, 15203

Least Common Multiple of 15196 and 15203 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 15203, than apply into the LCM equation.

GCF(15196,15203) = 1
LCM(15196,15203) = ( 15196 × 15203) / 1
LCM(15196,15203) = 231024788 / 1
LCM(15196,15203) = 231024788

Properties of LCM 15196 and 15203

(i) The LCM of 15203 and 15196 is associative

LCM of 15196 and 15203 = LCM of 15203 and 15196

Related Least Common Multiples of 15196

Related Least Common Multiples of 15203

Frequently Asked Questions on LCM of 15196 and 15203

1. What is the LCM of 15196 and 15203?

Answer: LCM of 15196 and 15203 is 231024788.

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 15203?

Answer: Factors of 15203 are 1, 23, 661, 15203. There are 4 integers that are factors of 15203. The greatest factor of 15203 is 15203.

4. How to Find the LCM of 15196 and 15203?

Answer:

Least Common Multiple of 15196 and 15203 = 231024788

Step 1: Find the prime factorization of 15196

15196 = 2 x 2 x 29 x 131

Step 2: Find the prime factorization of 15203

15203 = 23 x 661

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

LCM = 231024788 = 2 x 2 x 23 x 29 x 131 x 661

Step 4: Therefore, the least common multiple of 15196 and 15203 is 231024788.