Least Common Multiple of 15416 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 15416 and 15423 the smallest integer that is 237760968 that is divisible by both numbers.

Least Common Multiple (LCM) of 15416 and 15423 is 237760968.

LCM(15416,15423) = 237760968

LCM of 15416 and 15423

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

LCM of:
and

Least Common Multiple of 15416 and 15423

LCM of 15416 and 15423 is 237760968

Least common multiple can be found by multiplying the highest exponent prime factors of 15416 and 15423. First we will calculate the prime factors of 15416 and 15423.

Prime Factorization of 15416


2 15416
2 7708
2 3854
41 1927
47 47
1

Prime factors of 15416 are 2, 41,47. Prime factorization of 15416 in exponential form is:

15416 = 23×411×471

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 15416 and 15423.

LCM(15416,15423) = 23×31×411×471×531×971
LCM(15416,15423) = 237760968

Factors of 15416

List of positive integer factors of 15416 that divides 15416 without a remainder.

1, 2, 4, 8, 41, 47, 82, 94, 164, 188, 328, 376, 1927, 3854, 7708, 15416

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 15416 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 15416 and 15423, than apply into the LCM equation.

GCF(15416,15423) = 1
LCM(15416,15423) = ( 15416 × 15423) / 1
LCM(15416,15423) = 237760968 / 1
LCM(15416,15423) = 237760968

Properties of LCM 15416 and 15423

(i) The LCM of 15423 and 15416 is associative

LCM of 15416 and 15423 = LCM of 15423 and 15416

Related Least Common Multiples of 15416

Related Least Common Multiples of 15423

Frequently Asked Questions on LCM of 15416 and 15423

1. What is the LCM of 15416 and 15423?

Answer: LCM of 15416 and 15423 is 237760968.

2. What are the Factors of 15416?

Answer: Factors of 15416 are 1, 2, 4, 8, 41, 47, 82, 94, 164, 188, 328, 376, 1927, 3854, 7708, 15416. There are 16 integers that are factors of 15416. The greatest factor of 15416 is 15416.

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 15416 and 15423?

Answer:

Least Common Multiple of 15416 and 15423 = 237760968

Step 1: Find the prime factorization of 15416

15416 = 2 x 2 x 2 x 41 x 47

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 = 237760968 = 2 x 2 x 2 x 3 x 41 x 47 x 53 x 97

Step 4: Therefore, the least common multiple of 15416 and 15423 is 237760968.