Least Common Multiple of 15204 and 15210

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 15210 the smallest integer that is 38542140 that is divisible by both numbers.

Least Common Multiple (LCM) of 15204 and 15210 is 38542140.

LCM(15204,15210) = 38542140

LCM of 15204 and 15210

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

LCM of:
and

Least Common Multiple of 15204 and 15210

LCM of 15204 and 15210 is 38542140

Least common multiple can be found by multiplying the highest exponent prime factors of 15204 and 15210. First we will calculate the prime factors of 15204 and 15210.

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 15210


2 15210
3 7605
3 2535
5 845
13 169
13 13
1

Prime factors of 15210 are 2, 3, 5,13. Prime factorization of 15210 in exponential form is:

15210 = 21×32×51×132

Now multiplying the highest exponent prime factors to calculate the LCM of 15204 and 15210.

LCM(15204,15210) = 22×32×51×71×132×1811
LCM(15204,15210) = 38542140

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 15210

List of positive integer factors of 15210 that divides 15210 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 169, 195, 234, 338, 390, 507, 585, 845, 1014, 1170, 1521, 1690, 2535, 3042, 5070, 7605, 15210

Least Common Multiple of 15204 and 15210 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 15210, than apply into the LCM equation.

GCF(15204,15210) = 6
LCM(15204,15210) = ( 15204 × 15210) / 6
LCM(15204,15210) = 231252840 / 6
LCM(15204,15210) = 38542140

Properties of LCM 15204 and 15210

(i) The LCM of 15210 and 15204 is associative

LCM of 15204 and 15210 = LCM of 15210 and 15204

Related Least Common Multiples of 15204

Related Least Common Multiples of 15210

Frequently Asked Questions on LCM of 15204 and 15210

1. What is the LCM of 15204 and 15210?

Answer: LCM of 15204 and 15210 is 38542140.

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 15210?

Answer: Factors of 15210 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 169, 195, 234, 338, 390, 507, 585, 845, 1014, 1170, 1521, 1690, 2535, 3042, 5070, 7605, 15210. There are 36 integers that are factors of 15210. The greatest factor of 15210 is 15210.

4. How to Find the LCM of 15204 and 15210?

Answer:

Least Common Multiple of 15204 and 15210 = 38542140

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 15210

15210 = 2 x 3 x 3 x 5 x 13 x 13

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

LCM = 38542140 = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 13 x 181

Step 4: Therefore, the least common multiple of 15204 and 15210 is 38542140.