Least Common Multiple of 15189 and 15195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15189 and 15195 the smallest integer that is 76932285 that is divisible by both numbers.

Least Common Multiple (LCM) of 15189 and 15195 is 76932285.

LCM(15189,15195) = 76932285

LCM of 15189 and 15195

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

LCM of:
and

Least Common Multiple of 15189 and 15195

LCM of 15189 and 15195 is 76932285

Least common multiple can be found by multiplying the highest exponent prime factors of 15189 and 15195. First we will calculate the prime factors of 15189 and 15195.

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

Prime Factorization of 15195


3 15195
5 5065
1013 1013
1

Prime factors of 15195 are 3, 5,1013. Prime factorization of 15195 in exponential form is:

15195 = 31×51×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 15189 and 15195.

LCM(15189,15195) = 31×51×611×831×10131
LCM(15189,15195) = 76932285

Factors of 15189

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

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

Factors of 15195

List of positive integer factors of 15195 that divides 15195 without a remainder.

1, 3, 5, 15, 1013, 3039, 5065, 15195

Least Common Multiple of 15189 and 15195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15189 and 15195, than apply into the LCM equation.

GCF(15189,15195) = 3
LCM(15189,15195) = ( 15189 × 15195) / 3
LCM(15189,15195) = 230796855 / 3
LCM(15189,15195) = 76932285

Properties of LCM 15189 and 15195

(i) The LCM of 15195 and 15189 is associative

LCM of 15189 and 15195 = LCM of 15195 and 15189

Related Least Common Multiples of 15189

Related Least Common Multiples of 15195

Frequently Asked Questions on LCM of 15189 and 15195

1. What is the LCM of 15189 and 15195?

Answer: LCM of 15189 and 15195 is 76932285.

2. 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.

3. What are the Factors of 15195?

Answer: Factors of 15195 are 1, 3, 5, 15, 1013, 3039, 5065, 15195. There are 8 integers that are factors of 15195. The greatest factor of 15195 is 15195.

4. How to Find the LCM of 15189 and 15195?

Answer:

Least Common Multiple of 15189 and 15195 = 76932285

Step 1: Find the prime factorization of 15189

15189 = 3 x 61 x 83

Step 2: Find the prime factorization of 15195

15195 = 3 x 5 x 1013

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

LCM = 76932285 = 3 x 5 x 61 x 83 x 1013

Step 4: Therefore, the least common multiple of 15189 and 15195 is 76932285.