Least Common Multiple of 15192 and 15199

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 15199 the smallest integer that is 230903208 that is divisible by both numbers.

Least Common Multiple (LCM) of 15192 and 15199 is 230903208.

LCM(15192,15199) = 230903208

LCM of 15192 and 15199

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

LCM of:
and

Least Common Multiple of 15192 and 15199

LCM of 15192 and 15199 is 230903208

Least common multiple can be found by multiplying the highest exponent prime factors of 15192 and 15199. First we will calculate the prime factors of 15192 and 15199.

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 15199


15199 15199
1

Prime factors of 15199 are 15199. Prime factorization of 15199 in exponential form is:

15199 = 151991

Now multiplying the highest exponent prime factors to calculate the LCM of 15192 and 15199.

LCM(15192,15199) = 23×32×2111×151991
LCM(15192,15199) = 230903208

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 15199

List of positive integer factors of 15199 that divides 15199 without a remainder.

1, 15199

Least Common Multiple of 15192 and 15199 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 15199, than apply into the LCM equation.

GCF(15192,15199) = 1
LCM(15192,15199) = ( 15192 × 15199) / 1
LCM(15192,15199) = 230903208 / 1
LCM(15192,15199) = 230903208

Properties of LCM 15192 and 15199

(i) The LCM of 15199 and 15192 is associative

LCM of 15192 and 15199 = LCM of 15199 and 15192

Related Least Common Multiples of 15192

Related Least Common Multiples of 15199

Frequently Asked Questions on LCM of 15192 and 15199

1. What is the LCM of 15192 and 15199?

Answer: LCM of 15192 and 15199 is 230903208.

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 15199?

Answer: Factors of 15199 are 1, 15199. There are 2 integers that are factors of 15199. The greatest factor of 15199 is 15199.

4. How to Find the LCM of 15192 and 15199?

Answer:

Least Common Multiple of 15192 and 15199 = 230903208

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 15199

15199 = 15199

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

LCM = 230903208 = 2 x 2 x 2 x 3 x 3 x 211 x 15199

Step 4: Therefore, the least common multiple of 15192 and 15199 is 230903208.