Least Common Multiple of 15204 and 15209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15204 and 15209 the smallest integer that is 231237636 that is divisible by both numbers.

Least Common Multiple (LCM) of 15204 and 15209 is 231237636.

LCM(15204,15209) = 231237636

LCM of 15204 and 15209

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

LCM of:
and

Least Common Multiple of 15204 and 15209

LCM of 15204 and 15209 is 231237636

Least common multiple can be found by multiplying the highest exponent prime factors of 15204 and 15209. First we will calculate the prime factors of 15204 and 15209.

Prime Factorization of 15204


2 15204
2 7602
3 3801
7 1267
181 181
1

Prime factors of 15204 are 2, 3, 7,181. Prime factorization of 15204 in exponential form is:

15204 = 22×31×71×1811

Prime Factorization of 15209


67 15209
227 227
1

Prime factors of 15209 are 67,227. Prime factorization of 15209 in exponential form is:

15209 = 671×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 15204 and 15209.

LCM(15204,15209) = 22×31×71×671×1811×2271
LCM(15204,15209) = 231237636

Factors of 15204

List of positive integer factors of 15204 that divides 15204 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 181, 362, 543, 724, 1086, 1267, 2172, 2534, 3801, 5068, 7602, 15204

Factors of 15209

List of positive integer factors of 15209 that divides 15209 without a remainder.

1, 67, 227, 15209

Least Common Multiple of 15204 and 15209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15204 and 15209, than apply into the LCM equation.

GCF(15204,15209) = 1
LCM(15204,15209) = ( 15204 × 15209) / 1
LCM(15204,15209) = 231237636 / 1
LCM(15204,15209) = 231237636

Properties of LCM 15204 and 15209

(i) The LCM of 15209 and 15204 is associative

LCM of 15204 and 15209 = LCM of 15209 and 15204

Related Least Common Multiples of 15204

Related Least Common Multiples of 15209

Frequently Asked Questions on LCM of 15204 and 15209

1. What is the LCM of 15204 and 15209?

Answer: LCM of 15204 and 15209 is 231237636.

2. What are the Factors of 15204?

Answer: Factors of 15204 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 181, 362, 543, 724, 1086, 1267, 2172, 2534, 3801, 5068, 7602, 15204. There are 24 integers that are factors of 15204. The greatest factor of 15204 is 15204.

3. What are the Factors of 15209?

Answer: Factors of 15209 are 1, 67, 227, 15209. There are 4 integers that are factors of 15209. The greatest factor of 15209 is 15209.

4. How to Find the LCM of 15204 and 15209?

Answer:

Least Common Multiple of 15204 and 15209 = 231237636

Step 1: Find the prime factorization of 15204

15204 = 2 x 2 x 3 x 7 x 181

Step 2: Find the prime factorization of 15209

15209 = 67 x 227

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

LCM = 231237636 = 2 x 2 x 3 x 7 x 67 x 181 x 227

Step 4: Therefore, the least common multiple of 15204 and 15209 is 231237636.