Least Common Multiple of 15186 and 15189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15186 and 15189 the smallest integer that is 76886718 that is divisible by both numbers.

Least Common Multiple (LCM) of 15186 and 15189 is 76886718.

LCM(15186,15189) = 76886718

LCM of 15186 and 15189

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

LCM of:
and

Least Common Multiple of 15186 and 15189

LCM of 15186 and 15189 is 76886718

Least common multiple can be found by multiplying the highest exponent prime factors of 15186 and 15189. First we will calculate the prime factors of 15186 and 15189.

Prime Factorization of 15186


2 15186
3 7593
2531 2531
1

Prime factors of 15186 are 2, 3,2531. Prime factorization of 15186 in exponential form is:

15186 = 21×31×25311

Prime Factorization of 15189


3 15189
61 5063
83 83
1

Prime factors of 15189 are 3, 61,83. Prime factorization of 15189 in exponential form is:

15189 = 31×611×831

Now multiplying the highest exponent prime factors to calculate the LCM of 15186 and 15189.

LCM(15186,15189) = 21×31×611×831×25311
LCM(15186,15189) = 76886718

Factors of 15186

List of positive integer factors of 15186 that divides 15186 without a remainder.

1, 2, 3, 6, 2531, 5062, 7593, 15186

Factors of 15189

List of positive integer factors of 15189 that divides 15189 without a remainder.

1, 3, 61, 83, 183, 249, 5063, 15189

Least Common Multiple of 15186 and 15189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15186 and 15189, than apply into the LCM equation.

GCF(15186,15189) = 3
LCM(15186,15189) = ( 15186 × 15189) / 3
LCM(15186,15189) = 230660154 / 3
LCM(15186,15189) = 76886718

Properties of LCM 15186 and 15189

(i) The LCM of 15189 and 15186 is associative

LCM of 15186 and 15189 = LCM of 15189 and 15186

Related Least Common Multiples of 15186

Related Least Common Multiples of 15189

Frequently Asked Questions on LCM of 15186 and 15189

1. What is the LCM of 15186 and 15189?

Answer: LCM of 15186 and 15189 is 76886718.

2. What are the Factors of 15186?

Answer: Factors of 15186 are 1, 2, 3, 6, 2531, 5062, 7593, 15186. There are 8 integers that are factors of 15186. The greatest factor of 15186 is 15186.

3. What are the Factors of 15189?

Answer: Factors of 15189 are 1, 3, 61, 83, 183, 249, 5063, 15189. There are 8 integers that are factors of 15189. The greatest factor of 15189 is 15189.

4. How to Find the LCM of 15186 and 15189?

Answer:

Least Common Multiple of 15186 and 15189 = 76886718

Step 1: Find the prime factorization of 15186

15186 = 2 x 3 x 2531

Step 2: Find the prime factorization of 15189

15189 = 3 x 61 x 83

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

LCM = 76886718 = 2 x 3 x 61 x 83 x 2531

Step 4: Therefore, the least common multiple of 15186 and 15189 is 76886718.