Least Common Multiple of 15192 and 15197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15192 and 15197 the smallest integer that is 230872824 that is divisible by both numbers.

Least Common Multiple (LCM) of 15192 and 15197 is 230872824.

LCM(15192,15197) = 230872824

LCM of 15192 and 15197

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

LCM of:
and

Least Common Multiple of 15192 and 15197

LCM of 15192 and 15197 is 230872824

Least common multiple can be found by multiplying the highest exponent prime factors of 15192 and 15197. First we will calculate the prime factors of 15192 and 15197.

Prime Factorization of 15192


2 15192
2 7596
2 3798
3 1899
3 633
211 211
1

Prime factors of 15192 are 2, 3,211. Prime factorization of 15192 in exponential form is:

15192 = 23×32×2111

Prime Factorization of 15197


7 15197
13 2171
167 167
1

Prime factors of 15197 are 7, 13,167. Prime factorization of 15197 in exponential form is:

15197 = 71×131×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 15192 and 15197.

LCM(15192,15197) = 23×32×71×131×1671×2111
LCM(15192,15197) = 230872824

Factors of 15192

List of positive integer factors of 15192 that divides 15192 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 211, 422, 633, 844, 1266, 1688, 1899, 2532, 3798, 5064, 7596, 15192

Factors of 15197

List of positive integer factors of 15197 that divides 15197 without a remainder.

1, 7, 13, 91, 167, 1169, 2171, 15197

Least Common Multiple of 15192 and 15197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15192 and 15197, than apply into the LCM equation.

GCF(15192,15197) = 1
LCM(15192,15197) = ( 15192 × 15197) / 1
LCM(15192,15197) = 230872824 / 1
LCM(15192,15197) = 230872824

Properties of LCM 15192 and 15197

(i) The LCM of 15197 and 15192 is associative

LCM of 15192 and 15197 = LCM of 15197 and 15192

Related Least Common Multiples of 15192

Related Least Common Multiples of 15197

Frequently Asked Questions on LCM of 15192 and 15197

1. What is the LCM of 15192 and 15197?

Answer: LCM of 15192 and 15197 is 230872824.

2. What are the Factors of 15192?

Answer: Factors of 15192 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 211, 422, 633, 844, 1266, 1688, 1899, 2532, 3798, 5064, 7596, 15192. There are 24 integers that are factors of 15192. The greatest factor of 15192 is 15192.

3. What are the Factors of 15197?

Answer: Factors of 15197 are 1, 7, 13, 91, 167, 1169, 2171, 15197. There are 8 integers that are factors of 15197. The greatest factor of 15197 is 15197.

4. How to Find the LCM of 15192 and 15197?

Answer:

Least Common Multiple of 15192 and 15197 = 230872824

Step 1: Find the prime factorization of 15192

15192 = 2 x 2 x 2 x 3 x 3 x 211

Step 2: Find the prime factorization of 15197

15197 = 7 x 13 x 167

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

LCM = 230872824 = 2 x 2 x 2 x 3 x 3 x 7 x 13 x 167 x 211

Step 4: Therefore, the least common multiple of 15192 and 15197 is 230872824.