Least Common Multiple of 15196 and 15202

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 15202 the smallest integer that is 115504796 that is divisible by both numbers.

Least Common Multiple (LCM) of 15196 and 15202 is 115504796.

LCM(15196,15202) = 115504796

LCM of 15196 and 15202

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

LCM of:
and

Least Common Multiple of 15196 and 15202

LCM of 15196 and 15202 is 115504796

Least common multiple can be found by multiplying the highest exponent prime factors of 15196 and 15202. First we will calculate the prime factors of 15196 and 15202.

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 15202


2 15202
11 7601
691 691
1

Prime factors of 15202 are 2, 11,691. Prime factorization of 15202 in exponential form is:

15202 = 21×111×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 15196 and 15202.

LCM(15196,15202) = 22×111×291×1311×6911
LCM(15196,15202) = 115504796

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 15202

List of positive integer factors of 15202 that divides 15202 without a remainder.

1, 2, 11, 22, 691, 1382, 7601, 15202

Least Common Multiple of 15196 and 15202 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 15202, than apply into the LCM equation.

GCF(15196,15202) = 2
LCM(15196,15202) = ( 15196 × 15202) / 2
LCM(15196,15202) = 231009592 / 2
LCM(15196,15202) = 115504796

Properties of LCM 15196 and 15202

(i) The LCM of 15202 and 15196 is associative

LCM of 15196 and 15202 = LCM of 15202 and 15196

Related Least Common Multiples of 15196

Related Least Common Multiples of 15202

Frequently Asked Questions on LCM of 15196 and 15202

1. What is the LCM of 15196 and 15202?

Answer: LCM of 15196 and 15202 is 115504796.

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 15202?

Answer: Factors of 15202 are 1, 2, 11, 22, 691, 1382, 7601, 15202. There are 8 integers that are factors of 15202. The greatest factor of 15202 is 15202.

4. How to Find the LCM of 15196 and 15202?

Answer:

Least Common Multiple of 15196 and 15202 = 115504796

Step 1: Find the prime factorization of 15196

15196 = 2 x 2 x 29 x 131

Step 2: Find the prime factorization of 15202

15202 = 2 x 11 x 691

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

LCM = 115504796 = 2 x 2 x 11 x 29 x 131 x 691

Step 4: Therefore, the least common multiple of 15196 and 15202 is 115504796.