Least Common Multiple of 15208 and 15215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15208 and 15215 the smallest integer that is 231389720 that is divisible by both numbers.

Least Common Multiple (LCM) of 15208 and 15215 is 231389720.

LCM(15208,15215) = 231389720

LCM of 15208 and 15215

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

LCM of:
and

Least Common Multiple of 15208 and 15215

LCM of 15208 and 15215 is 231389720

Least common multiple can be found by multiplying the highest exponent prime factors of 15208 and 15215. First we will calculate the prime factors of 15208 and 15215.

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

Prime Factorization of 15215


5 15215
17 3043
179 179
1

Prime factors of 15215 are 5, 17,179. Prime factorization of 15215 in exponential form is:

15215 = 51×171×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 15208 and 15215.

LCM(15208,15215) = 23×51×171×1791×19011
LCM(15208,15215) = 231389720

Factors of 15208

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

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

Factors of 15215

List of positive integer factors of 15215 that divides 15215 without a remainder.

1, 5, 17, 85, 179, 895, 3043, 15215

Least Common Multiple of 15208 and 15215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15208 and 15215, than apply into the LCM equation.

GCF(15208,15215) = 1
LCM(15208,15215) = ( 15208 × 15215) / 1
LCM(15208,15215) = 231389720 / 1
LCM(15208,15215) = 231389720

Properties of LCM 15208 and 15215

(i) The LCM of 15215 and 15208 is associative

LCM of 15208 and 15215 = LCM of 15215 and 15208

Related Least Common Multiples of 15208

Related Least Common Multiples of 15215

Frequently Asked Questions on LCM of 15208 and 15215

1. What is the LCM of 15208 and 15215?

Answer: LCM of 15208 and 15215 is 231389720.

2. 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.

3. What are the Factors of 15215?

Answer: Factors of 15215 are 1, 5, 17, 85, 179, 895, 3043, 15215. There are 8 integers that are factors of 15215. The greatest factor of 15215 is 15215.

4. How to Find the LCM of 15208 and 15215?

Answer:

Least Common Multiple of 15208 and 15215 = 231389720

Step 1: Find the prime factorization of 15208

15208 = 2 x 2 x 2 x 1901

Step 2: Find the prime factorization of 15215

15215 = 5 x 17 x 179

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

LCM = 231389720 = 2 x 2 x 2 x 5 x 17 x 179 x 1901

Step 4: Therefore, the least common multiple of 15208 and 15215 is 231389720.