Least Common Multiple of 15315 and 15321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15315 and 15321 the smallest integer that is 78213705 that is divisible by both numbers.

Least Common Multiple (LCM) of 15315 and 15321 is 78213705.

LCM(15315,15321) = 78213705

LCM of 15315 and 15321

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

LCM of:
and

Least Common Multiple of 15315 and 15321

LCM of 15315 and 15321 is 78213705

Least common multiple can be found by multiplying the highest exponent prime factors of 15315 and 15321. First we will calculate the prime factors of 15315 and 15321.

Prime Factorization of 15315


3 15315
5 5105
1021 1021
1

Prime factors of 15315 are 3, 5,1021. Prime factorization of 15315 in exponential form is:

15315 = 31×51×10211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15315 and 15321.

LCM(15315,15321) = 31×51×10211×51071
LCM(15315,15321) = 78213705

Factors of 15315

List of positive integer factors of 15315 that divides 15315 without a remainder.

1, 3, 5, 15, 1021, 3063, 5105, 15315

Factors of 15321

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

1, 3, 5107, 15321

Least Common Multiple of 15315 and 15321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15315 and 15321, than apply into the LCM equation.

GCF(15315,15321) = 3
LCM(15315,15321) = ( 15315 × 15321) / 3
LCM(15315,15321) = 234641115 / 3
LCM(15315,15321) = 78213705

Properties of LCM 15315 and 15321

(i) The LCM of 15321 and 15315 is associative

LCM of 15315 and 15321 = LCM of 15321 and 15315

Related Least Common Multiples of 15315

Related Least Common Multiples of 15321

Frequently Asked Questions on LCM of 15315 and 15321

1. What is the LCM of 15315 and 15321?

Answer: LCM of 15315 and 15321 is 78213705.

2. What are the Factors of 15315?

Answer: Factors of 15315 are 1, 3, 5, 15, 1021, 3063, 5105, 15315. There are 8 integers that are factors of 15315. The greatest factor of 15315 is 15315.

3. 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.

4. How to Find the LCM of 15315 and 15321?

Answer:

Least Common Multiple of 15315 and 15321 = 78213705

Step 1: Find the prime factorization of 15315

15315 = 3 x 5 x 1021

Step 2: Find the prime factorization of 15321

15321 = 3 x 5107

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

LCM = 78213705 = 3 x 5 x 1021 x 5107

Step 4: Therefore, the least common multiple of 15315 and 15321 is 78213705.