Least Common Multiple of 313 and 321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313 and 321 the smallest integer that is 100473 that is divisible by both numbers.

Least Common Multiple (LCM) of 313 and 321 is 100473.

LCM(313,321) = 100473

LCM of 313 and 321

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

LCM of:
and

Least Common Multiple of 313 and 321

LCM of 313 and 321 is 100473

Least common multiple can be found by multiplying the highest exponent prime factors of 313 and 321. First we will calculate the prime factors of 313 and 321.

Prime Factorization of 313


313 313
1

Prime factors of 313 are 313. Prime factorization of 313 in exponential form is:

313 = 3131

Prime Factorization of 321


3 321
107 107
1

Prime factors of 321 are 3,107. Prime factorization of 321 in exponential form is:

321 = 31×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 313 and 321.

LCM(313,321) = 31×1071×3131
LCM(313,321) = 100473

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1, 313

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Least Common Multiple of 313 and 321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313 and 321, than apply into the LCM equation.

GCF(313,321) = 1
LCM(313,321) = ( 313 × 321) / 1
LCM(313,321) = 100473 / 1
LCM(313,321) = 100473

Properties of LCM 313 and 321

(i) The LCM of 321 and 313 is associative

LCM of 313 and 321 = LCM of 321 and 313

Related Least Common Multiples of 313

Related Least Common Multiples of 321

Frequently Asked Questions on LCM of 313 and 321

1. What is the LCM of 313 and 321?

Answer: LCM of 313 and 321 is 100473.

2. What are the Factors of 313?

Answer: Factors of 313 are 1, 313. There are 2 integers that are factors of 313. The greatest factor of 313 is 313.

3. What are the Factors of 321?

Answer: Factors of 321 are 1, 3, 107, 321. There are 4 integers that are factors of 321. The greatest factor of 321 is 321.

4. How to Find the LCM of 313 and 321?

Answer:

Least Common Multiple of 313 and 321 = 100473

Step 1: Find the prime factorization of 313

313 = 313

Step 2: Find the prime factorization of 321

321 = 3 x 107

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

LCM = 100473 = 3 x 107 x 313

Step 4: Therefore, the least common multiple of 313 and 321 is 100473.