Least Common Multiple of 15421 and 15427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15421 and 15427 the smallest integer that is 237899767 that is divisible by both numbers.

Least Common Multiple (LCM) of 15421 and 15427 is 237899767.

LCM(15421,15427) = 237899767

LCM of 15421 and 15427

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

LCM of:
and

Least Common Multiple of 15421 and 15427

LCM of 15421 and 15427 is 237899767

Least common multiple can be found by multiplying the highest exponent prime factors of 15421 and 15427. First we will calculate the prime factors of 15421 and 15427.

Prime Factorization of 15421


7 15421
2203 2203
1

Prime factors of 15421 are 7,2203. Prime factorization of 15421 in exponential form is:

15421 = 71×22031

Prime Factorization of 15427


15427 15427
1

Prime factors of 15427 are 15427. Prime factorization of 15427 in exponential form is:

15427 = 154271

Now multiplying the highest exponent prime factors to calculate the LCM of 15421 and 15427.

LCM(15421,15427) = 71×22031×154271
LCM(15421,15427) = 237899767

Factors of 15421

List of positive integer factors of 15421 that divides 15421 without a remainder.

1, 7, 2203, 15421

Factors of 15427

List of positive integer factors of 15427 that divides 15427 without a remainder.

1, 15427

Least Common Multiple of 15421 and 15427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15421 and 15427, than apply into the LCM equation.

GCF(15421,15427) = 1
LCM(15421,15427) = ( 15421 × 15427) / 1
LCM(15421,15427) = 237899767 / 1
LCM(15421,15427) = 237899767

Properties of LCM 15421 and 15427

(i) The LCM of 15427 and 15421 is associative

LCM of 15421 and 15427 = LCM of 15427 and 15421

Related Least Common Multiples of 15421

Related Least Common Multiples of 15427

Frequently Asked Questions on LCM of 15421 and 15427

1. What is the LCM of 15421 and 15427?

Answer: LCM of 15421 and 15427 is 237899767.

2. What are the Factors of 15421?

Answer: Factors of 15421 are 1, 7, 2203, 15421. There are 4 integers that are factors of 15421. The greatest factor of 15421 is 15421.

3. What are the Factors of 15427?

Answer: Factors of 15427 are 1, 15427. There are 2 integers that are factors of 15427. The greatest factor of 15427 is 15427.

4. How to Find the LCM of 15421 and 15427?

Answer:

Least Common Multiple of 15421 and 15427 = 237899767

Step 1: Find the prime factorization of 15421

15421 = 7 x 2203

Step 2: Find the prime factorization of 15427

15427 = 15427

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

LCM = 237899767 = 7 x 2203 x 15427

Step 4: Therefore, the least common multiple of 15421 and 15427 is 237899767.