Least Common Multiple of 15208 and 15216

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 15216 the smallest integer that is 28925616 that is divisible by both numbers.

Least Common Multiple (LCM) of 15208 and 15216 is 28925616.

LCM(15208,15216) = 28925616

LCM of 15208 and 15216

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

LCM of:
and

Least Common Multiple of 15208 and 15216

LCM of 15208 and 15216 is 28925616

Least common multiple can be found by multiplying the highest exponent prime factors of 15208 and 15216. First we will calculate the prime factors of 15208 and 15216.

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 15216


2 15216
2 7608
2 3804
2 1902
3 951
317 317
1

Prime factors of 15216 are 2, 3,317. Prime factorization of 15216 in exponential form is:

15216 = 24×31×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 15208 and 15216.

LCM(15208,15216) = 24×31×3171×19011
LCM(15208,15216) = 28925616

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 15216

List of positive integer factors of 15216 that divides 15216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 317, 634, 951, 1268, 1902, 2536, 3804, 5072, 7608, 15216

Least Common Multiple of 15208 and 15216 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 15216, than apply into the LCM equation.

GCF(15208,15216) = 8
LCM(15208,15216) = ( 15208 × 15216) / 8
LCM(15208,15216) = 231404928 / 8
LCM(15208,15216) = 28925616

Properties of LCM 15208 and 15216

(i) The LCM of 15216 and 15208 is associative

LCM of 15208 and 15216 = LCM of 15216 and 15208

Related Least Common Multiples of 15208

Related Least Common Multiples of 15216

Frequently Asked Questions on LCM of 15208 and 15216

1. What is the LCM of 15208 and 15216?

Answer: LCM of 15208 and 15216 is 28925616.

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 15216?

Answer: Factors of 15216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 317, 634, 951, 1268, 1902, 2536, 3804, 5072, 7608, 15216. There are 20 integers that are factors of 15216. The greatest factor of 15216 is 15216.

4. How to Find the LCM of 15208 and 15216?

Answer:

Least Common Multiple of 15208 and 15216 = 28925616

Step 1: Find the prime factorization of 15208

15208 = 2 x 2 x 2 x 1901

Step 2: Find the prime factorization of 15216

15216 = 2 x 2 x 2 x 2 x 3 x 317

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

LCM = 28925616 = 2 x 2 x 2 x 2 x 3 x 317 x 1901

Step 4: Therefore, the least common multiple of 15208 and 15216 is 28925616.