Least Common Multiple of 15204 and 15212

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 15212 the smallest integer that is 57820812 that is divisible by both numbers.

Least Common Multiple (LCM) of 15204 and 15212 is 57820812.

LCM(15204,15212) = 57820812

LCM of 15204 and 15212

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

LCM of:
and

Least Common Multiple of 15204 and 15212

LCM of 15204 and 15212 is 57820812

Least common multiple can be found by multiplying the highest exponent prime factors of 15204 and 15212. First we will calculate the prime factors of 15204 and 15212.

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 15212


2 15212
2 7606
3803 3803
1

Prime factors of 15212 are 2,3803. Prime factorization of 15212 in exponential form is:

15212 = 22×38031

Now multiplying the highest exponent prime factors to calculate the LCM of 15204 and 15212.

LCM(15204,15212) = 22×31×71×1811×38031
LCM(15204,15212) = 57820812

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 15212

List of positive integer factors of 15212 that divides 15212 without a remainder.

1, 2, 4, 3803, 7606, 15212

Least Common Multiple of 15204 and 15212 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 15212, than apply into the LCM equation.

GCF(15204,15212) = 4
LCM(15204,15212) = ( 15204 × 15212) / 4
LCM(15204,15212) = 231283248 / 4
LCM(15204,15212) = 57820812

Properties of LCM 15204 and 15212

(i) The LCM of 15212 and 15204 is associative

LCM of 15204 and 15212 = LCM of 15212 and 15204

Related Least Common Multiples of 15204

Related Least Common Multiples of 15212

Frequently Asked Questions on LCM of 15204 and 15212

1. What is the LCM of 15204 and 15212?

Answer: LCM of 15204 and 15212 is 57820812.

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 15212?

Answer: Factors of 15212 are 1, 2, 4, 3803, 7606, 15212. There are 6 integers that are factors of 15212. The greatest factor of 15212 is 15212.

4. How to Find the LCM of 15204 and 15212?

Answer:

Least Common Multiple of 15204 and 15212 = 57820812

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 15212

15212 = 2 x 2 x 3803

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

LCM = 57820812 = 2 x 2 x 3 x 7 x 181 x 3803

Step 4: Therefore, the least common multiple of 15204 and 15212 is 57820812.