Least Common Multiple of 15204 and 15211

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 15211 the smallest integer that is 33038292 that is divisible by both numbers.

Least Common Multiple (LCM) of 15204 and 15211 is 33038292.

LCM(15204,15211) = 33038292

LCM of 15204 and 15211

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

LCM of:
and

Least Common Multiple of 15204 and 15211

LCM of 15204 and 15211 is 33038292

Least common multiple can be found by multiplying the highest exponent prime factors of 15204 and 15211. First we will calculate the prime factors of 15204 and 15211.

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 15211


7 15211
41 2173
53 53
1

Prime factors of 15211 are 7, 41,53. Prime factorization of 15211 in exponential form is:

15211 = 71×411×531

Now multiplying the highest exponent prime factors to calculate the LCM of 15204 and 15211.

LCM(15204,15211) = 22×31×71×411×531×1811
LCM(15204,15211) = 33038292

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 15211

List of positive integer factors of 15211 that divides 15211 without a remainder.

1, 7, 41, 53, 287, 371, 2173, 15211

Least Common Multiple of 15204 and 15211 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 15211, than apply into the LCM equation.

GCF(15204,15211) = 7
LCM(15204,15211) = ( 15204 × 15211) / 7
LCM(15204,15211) = 231268044 / 7
LCM(15204,15211) = 33038292

Properties of LCM 15204 and 15211

(i) The LCM of 15211 and 15204 is associative

LCM of 15204 and 15211 = LCM of 15211 and 15204

Related Least Common Multiples of 15204

Related Least Common Multiples of 15211

Frequently Asked Questions on LCM of 15204 and 15211

1. What is the LCM of 15204 and 15211?

Answer: LCM of 15204 and 15211 is 33038292.

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 15211?

Answer: Factors of 15211 are 1, 7, 41, 53, 287, 371, 2173, 15211. There are 8 integers that are factors of 15211. The greatest factor of 15211 is 15211.

4. How to Find the LCM of 15204 and 15211?

Answer:

Least Common Multiple of 15204 and 15211 = 33038292

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 15211

15211 = 7 x 41 x 53

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

LCM = 33038292 = 2 x 2 x 3 x 7 x 41 x 53 x 181

Step 4: Therefore, the least common multiple of 15204 and 15211 is 33038292.