Least Common Multiple of 15203 and 15204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15203 and 15204 the smallest integer that is 231146412 that is divisible by both numbers.

Least Common Multiple (LCM) of 15203 and 15204 is 231146412.

LCM(15203,15204) = 231146412

LCM of 15203 and 15204

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

LCM of:
and

Least Common Multiple of 15203 and 15204

LCM of 15203 and 15204 is 231146412

Least common multiple can be found by multiplying the highest exponent prime factors of 15203 and 15204. First we will calculate the prime factors of 15203 and 15204.

Prime Factorization of 15203


23 15203
661 661
1

Prime factors of 15203 are 23,661. Prime factorization of 15203 in exponential form is:

15203 = 231×6611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15203 and 15204.

LCM(15203,15204) = 22×31×71×231×1811×6611
LCM(15203,15204) = 231146412

Factors of 15203

List of positive integer factors of 15203 that divides 15203 without a remainder.

1, 23, 661, 15203

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

Least Common Multiple of 15203 and 15204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15203 and 15204, than apply into the LCM equation.

GCF(15203,15204) = 1
LCM(15203,15204) = ( 15203 × 15204) / 1
LCM(15203,15204) = 231146412 / 1
LCM(15203,15204) = 231146412

Properties of LCM 15203 and 15204

(i) The LCM of 15204 and 15203 is associative

LCM of 15203 and 15204 = LCM of 15204 and 15203

Related Least Common Multiples of 15203

Related Least Common Multiples of 15204

Frequently Asked Questions on LCM of 15203 and 15204

1. What is the LCM of 15203 and 15204?

Answer: LCM of 15203 and 15204 is 231146412.

2. What are the Factors of 15203?

Answer: Factors of 15203 are 1, 23, 661, 15203. There are 4 integers that are factors of 15203. The greatest factor of 15203 is 15203.

3. 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.

4. How to Find the LCM of 15203 and 15204?

Answer:

Least Common Multiple of 15203 and 15204 = 231146412

Step 1: Find the prime factorization of 15203

15203 = 23 x 661

Step 2: Find the prime factorization of 15204

15204 = 2 x 2 x 3 x 7 x 181

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

LCM = 231146412 = 2 x 2 x 3 x 7 x 23 x 181 x 661

Step 4: Therefore, the least common multiple of 15203 and 15204 is 231146412.