Least Common Multiple of 15204 and 15208

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 15208 the smallest integer that is 57805608 that is divisible by both numbers.

Least Common Multiple (LCM) of 15204 and 15208 is 57805608.

LCM(15204,15208) = 57805608

LCM of 15204 and 15208

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

LCM of:
and

Least Common Multiple of 15204 and 15208

LCM of 15204 and 15208 is 57805608

Least common multiple can be found by multiplying the highest exponent prime factors of 15204 and 15208. First we will calculate the prime factors of 15204 and 15208.

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 15208


2 15208
2 7604
2 3802
1901 1901
1

Prime factors of 15208 are 2,1901. Prime factorization of 15208 in exponential form is:

15208 = 23×19011

Now multiplying the highest exponent prime factors to calculate the LCM of 15204 and 15208.

LCM(15204,15208) = 23×31×71×1811×19011
LCM(15204,15208) = 57805608

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 15208

List of positive integer factors of 15208 that divides 15208 without a remainder.

1, 2, 4, 8, 1901, 3802, 7604, 15208

Least Common Multiple of 15204 and 15208 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 15208, than apply into the LCM equation.

GCF(15204,15208) = 4
LCM(15204,15208) = ( 15204 × 15208) / 4
LCM(15204,15208) = 231222432 / 4
LCM(15204,15208) = 57805608

Properties of LCM 15204 and 15208

(i) The LCM of 15208 and 15204 is associative

LCM of 15204 and 15208 = LCM of 15208 and 15204

Related Least Common Multiples of 15204

Related Least Common Multiples of 15208

Frequently Asked Questions on LCM of 15204 and 15208

1. What is the LCM of 15204 and 15208?

Answer: LCM of 15204 and 15208 is 57805608.

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 15208?

Answer: Factors of 15208 are 1, 2, 4, 8, 1901, 3802, 7604, 15208. There are 8 integers that are factors of 15208. The greatest factor of 15208 is 15208.

4. How to Find the LCM of 15204 and 15208?

Answer:

Least Common Multiple of 15204 and 15208 = 57805608

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 15208

15208 = 2 x 2 x 2 x 1901

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

LCM = 57805608 = 2 x 2 x 2 x 3 x 7 x 181 x 1901

Step 4: Therefore, the least common multiple of 15204 and 15208 is 57805608.