Least Common Multiple of 15321 and 15327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15321 and 15327 the smallest integer that is 78274989 that is divisible by both numbers.

Least Common Multiple (LCM) of 15321 and 15327 is 78274989.

LCM(15321,15327) = 78274989

LCM of 15321 and 15327

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

LCM of:
and

Least Common Multiple of 15321 and 15327

LCM of 15321 and 15327 is 78274989

Least common multiple can be found by multiplying the highest exponent prime factors of 15321 and 15327. First we will calculate the prime factors of 15321 and 15327.

Prime Factorization of 15321


3 15321
5107 5107
1

Prime factors of 15321 are 3,5107. Prime factorization of 15321 in exponential form is:

15321 = 31×51071

Prime Factorization of 15327


3 15327
3 5109
13 1703
131 131
1

Prime factors of 15327 are 3, 13,131. Prime factorization of 15327 in exponential form is:

15327 = 32×131×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 15321 and 15327.

LCM(15321,15327) = 32×131×1311×51071
LCM(15321,15327) = 78274989

Factors of 15321

List of positive integer factors of 15321 that divides 15321 without a remainder.

1, 3, 5107, 15321

Factors of 15327

List of positive integer factors of 15327 that divides 15327 without a remainder.

1, 3, 9, 13, 39, 117, 131, 393, 1179, 1703, 5109, 15327

Least Common Multiple of 15321 and 15327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15321 and 15327, than apply into the LCM equation.

GCF(15321,15327) = 3
LCM(15321,15327) = ( 15321 × 15327) / 3
LCM(15321,15327) = 234824967 / 3
LCM(15321,15327) = 78274989

Properties of LCM 15321 and 15327

(i) The LCM of 15327 and 15321 is associative

LCM of 15321 and 15327 = LCM of 15327 and 15321

Related Least Common Multiples of 15321

Related Least Common Multiples of 15327

Frequently Asked Questions on LCM of 15321 and 15327

1. What is the LCM of 15321 and 15327?

Answer: LCM of 15321 and 15327 is 78274989.

2. What are the Factors of 15321?

Answer: Factors of 15321 are 1, 3, 5107, 15321. There are 4 integers that are factors of 15321. The greatest factor of 15321 is 15321.

3. What are the Factors of 15327?

Answer: Factors of 15327 are 1, 3, 9, 13, 39, 117, 131, 393, 1179, 1703, 5109, 15327. There are 12 integers that are factors of 15327. The greatest factor of 15327 is 15327.

4. How to Find the LCM of 15321 and 15327?

Answer:

Least Common Multiple of 15321 and 15327 = 78274989

Step 1: Find the prime factorization of 15321

15321 = 3 x 5107

Step 2: Find the prime factorization of 15327

15327 = 3 x 3 x 13 x 131

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

LCM = 78274989 = 3 x 3 x 13 x 131 x 5107

Step 4: Therefore, the least common multiple of 15321 and 15327 is 78274989.