Least Common Multiple of 15417 and 15423

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 15423 the smallest integer that is 79258797 that is divisible by both numbers.

Least Common Multiple (LCM) of 15417 and 15423 is 79258797.

LCM(15417,15423) = 79258797

LCM of 15417 and 15423

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

LCM of:
and

Least Common Multiple of 15417 and 15423

LCM of 15417 and 15423 is 79258797

Least common multiple can be found by multiplying the highest exponent prime factors of 15417 and 15423. First we will calculate the prime factors of 15417 and 15423.

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 15423


3 15423
53 5141
97 97
1

Prime factors of 15423 are 3, 53,97. Prime factorization of 15423 in exponential form is:

15423 = 31×531×971

Now multiplying the highest exponent prime factors to calculate the LCM of 15417 and 15423.

LCM(15417,15423) = 33×531×971×5711
LCM(15417,15423) = 79258797

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 15423

List of positive integer factors of 15423 that divides 15423 without a remainder.

1, 3, 53, 97, 159, 291, 5141, 15423

Least Common Multiple of 15417 and 15423 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 15423, than apply into the LCM equation.

GCF(15417,15423) = 3
LCM(15417,15423) = ( 15417 × 15423) / 3
LCM(15417,15423) = 237776391 / 3
LCM(15417,15423) = 79258797

Properties of LCM 15417 and 15423

(i) The LCM of 15423 and 15417 is associative

LCM of 15417 and 15423 = LCM of 15423 and 15417

Related Least Common Multiples of 15417

Related Least Common Multiples of 15423

Frequently Asked Questions on LCM of 15417 and 15423

1. What is the LCM of 15417 and 15423?

Answer: LCM of 15417 and 15423 is 79258797.

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 15423?

Answer: Factors of 15423 are 1, 3, 53, 97, 159, 291, 5141, 15423. There are 8 integers that are factors of 15423. The greatest factor of 15423 is 15423.

4. How to Find the LCM of 15417 and 15423?

Answer:

Least Common Multiple of 15417 and 15423 = 79258797

Step 1: Find the prime factorization of 15417

15417 = 3 x 3 x 3 x 571

Step 2: Find the prime factorization of 15423

15423 = 3 x 53 x 97

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

LCM = 79258797 = 3 x 3 x 3 x 53 x 97 x 571

Step 4: Therefore, the least common multiple of 15417 and 15423 is 79258797.