Least Common Multiple of 15417 and 15424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15417 and 15424 the smallest integer that is 237791808 that is divisible by both numbers.

Least Common Multiple (LCM) of 15417 and 15424 is 237791808.

LCM(15417,15424) = 237791808

LCM of 15417 and 15424

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

LCM of:
and

Least Common Multiple of 15417 and 15424

LCM of 15417 and 15424 is 237791808

Least common multiple can be found by multiplying the highest exponent prime factors of 15417 and 15424. First we will calculate the prime factors of 15417 and 15424.

Prime Factorization of 15417


3 15417
3 5139
3 1713
571 571
1

Prime factors of 15417 are 3,571. Prime factorization of 15417 in exponential form is:

15417 = 33×5711

Prime Factorization of 15424


2 15424
2 7712
2 3856
2 1928
2 964
2 482
241 241
1

Prime factors of 15424 are 2,241. Prime factorization of 15424 in exponential form is:

15424 = 26×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 15417 and 15424.

LCM(15417,15424) = 26×33×2411×5711
LCM(15417,15424) = 237791808

Factors of 15417

List of positive integer factors of 15417 that divides 15417 without a remainder.

1, 3, 9, 27, 571, 1713, 5139, 15417

Factors of 15424

List of positive integer factors of 15424 that divides 15424 without a remainder.

1, 2, 4, 8, 16, 32, 64, 241, 482, 964, 1928, 3856, 7712, 15424

Least Common Multiple of 15417 and 15424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15417 and 15424, than apply into the LCM equation.

GCF(15417,15424) = 1
LCM(15417,15424) = ( 15417 × 15424) / 1
LCM(15417,15424) = 237791808 / 1
LCM(15417,15424) = 237791808

Properties of LCM 15417 and 15424

(i) The LCM of 15424 and 15417 is associative

LCM of 15417 and 15424 = LCM of 15424 and 15417

Related Least Common Multiples of 15417

Related Least Common Multiples of 15424

Frequently Asked Questions on LCM of 15417 and 15424

1. What is the LCM of 15417 and 15424?

Answer: LCM of 15417 and 15424 is 237791808.

2. What are the Factors of 15417?

Answer: Factors of 15417 are 1, 3, 9, 27, 571, 1713, 5139, 15417. There are 8 integers that are factors of 15417. The greatest factor of 15417 is 15417.

3. What are the Factors of 15424?

Answer: Factors of 15424 are 1, 2, 4, 8, 16, 32, 64, 241, 482, 964, 1928, 3856, 7712, 15424. There are 14 integers that are factors of 15424. The greatest factor of 15424 is 15424.

4. How to Find the LCM of 15417 and 15424?

Answer:

Least Common Multiple of 15417 and 15424 = 237791808

Step 1: Find the prime factorization of 15417

15417 = 3 x 3 x 3 x 571

Step 2: Find the prime factorization of 15424

15424 = 2 x 2 x 2 x 2 x 2 x 2 x 241

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

LCM = 237791808 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 241 x 571

Step 4: Therefore, the least common multiple of 15417 and 15424 is 237791808.