Least Common Multiple of 15184 and 15190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15184 and 15190 the smallest integer that is 115322480 that is divisible by both numbers.

Least Common Multiple (LCM) of 15184 and 15190 is 115322480.

LCM(15184,15190) = 115322480

LCM of 15184 and 15190

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

LCM of:
and

Least Common Multiple of 15184 and 15190

LCM of 15184 and 15190 is 115322480

Least common multiple can be found by multiplying the highest exponent prime factors of 15184 and 15190. First we will calculate the prime factors of 15184 and 15190.

Prime Factorization of 15184


2 15184
2 7592
2 3796
2 1898
13 949
73 73
1

Prime factors of 15184 are 2, 13,73. Prime factorization of 15184 in exponential form is:

15184 = 24×131×731

Prime Factorization of 15190


2 15190
5 7595
7 1519
7 217
31 31
1

Prime factors of 15190 are 2, 5, 7,31. Prime factorization of 15190 in exponential form is:

15190 = 21×51×72×311

Now multiplying the highest exponent prime factors to calculate the LCM of 15184 and 15190.

LCM(15184,15190) = 24×51×72×131×311×731
LCM(15184,15190) = 115322480

Factors of 15184

List of positive integer factors of 15184 that divides 15184 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 73, 104, 146, 208, 292, 584, 949, 1168, 1898, 3796, 7592, 15184

Factors of 15190

List of positive integer factors of 15190 that divides 15190 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 49, 62, 70, 98, 155, 217, 245, 310, 434, 490, 1085, 1519, 2170, 3038, 7595, 15190

Least Common Multiple of 15184 and 15190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15184 and 15190, than apply into the LCM equation.

GCF(15184,15190) = 2
LCM(15184,15190) = ( 15184 × 15190) / 2
LCM(15184,15190) = 230644960 / 2
LCM(15184,15190) = 115322480

Properties of LCM 15184 and 15190

(i) The LCM of 15190 and 15184 is associative

LCM of 15184 and 15190 = LCM of 15190 and 15184

Related Least Common Multiples of 15184

Related Least Common Multiples of 15190

Frequently Asked Questions on LCM of 15184 and 15190

1. What is the LCM of 15184 and 15190?

Answer: LCM of 15184 and 15190 is 115322480.

2. What are the Factors of 15184?

Answer: Factors of 15184 are 1, 2, 4, 8, 13, 16, 26, 52, 73, 104, 146, 208, 292, 584, 949, 1168, 1898, 3796, 7592, 15184. There are 20 integers that are factors of 15184. The greatest factor of 15184 is 15184.

3. What are the Factors of 15190?

Answer: Factors of 15190 are 1, 2, 5, 7, 10, 14, 31, 35, 49, 62, 70, 98, 155, 217, 245, 310, 434, 490, 1085, 1519, 2170, 3038, 7595, 15190. There are 24 integers that are factors of 15190. The greatest factor of 15190 is 15190.

4. How to Find the LCM of 15184 and 15190?

Answer:

Least Common Multiple of 15184 and 15190 = 115322480

Step 1: Find the prime factorization of 15184

15184 = 2 x 2 x 2 x 2 x 13 x 73

Step 2: Find the prime factorization of 15190

15190 = 2 x 5 x 7 x 7 x 31

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

LCM = 115322480 = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 13 x 31 x 73

Step 4: Therefore, the least common multiple of 15184 and 15190 is 115322480.