Least Common Multiple of 311403 and 311409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311403 and 311409 the smallest integer that is 32324565609 that is divisible by both numbers.

Least Common Multiple (LCM) of 311403 and 311409 is 32324565609.

LCM(311403,311409) = 32324565609

LCM of 311403 and 311409

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

LCM of:
and

Least Common Multiple of 311403 and 311409

LCM of 311403 and 311409 is 32324565609

Least common multiple can be found by multiplying the highest exponent prime factors of 311403 and 311409. First we will calculate the prime factors of 311403 and 311409.

Prime Factorization of 311403


3 311403
103801 103801
1

Prime factors of 311403 are 3,103801. Prime factorization of 311403 in exponential form is:

311403 = 31×1038011

Prime Factorization of 311409


3 311409
3 103803
7 34601
4943 4943
1

Prime factors of 311409 are 3, 7,4943. Prime factorization of 311409 in exponential form is:

311409 = 32×71×49431

Now multiplying the highest exponent prime factors to calculate the LCM of 311403 and 311409.

LCM(311403,311409) = 32×71×49431×1038011
LCM(311403,311409) = 32324565609

Factors of 311403

List of positive integer factors of 311403 that divides 311403 without a remainder.

1, 3, 103801, 311403

Factors of 311409

List of positive integer factors of 311409 that divides 311409 without a remainder.

1, 3, 7, 9, 21, 63, 4943, 14829, 34601, 44487, 103803, 311409

Least Common Multiple of 311403 and 311409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311403 and 311409, than apply into the LCM equation.

GCF(311403,311409) = 3
LCM(311403,311409) = ( 311403 × 311409) / 3
LCM(311403,311409) = 96973696827 / 3
LCM(311403,311409) = 32324565609

Properties of LCM 311403 and 311409

(i) The LCM of 311409 and 311403 is associative

LCM of 311403 and 311409 = LCM of 311409 and 311403

Related Least Common Multiples of 311403

Related Least Common Multiples of 311409

Frequently Asked Questions on LCM of 311403 and 311409

1. What is the LCM of 311403 and 311409?

Answer: LCM of 311403 and 311409 is 32324565609.

2. What are the Factors of 311403?

Answer: Factors of 311403 are 1, 3, 103801, 311403. There are 4 integers that are factors of 311403. The greatest factor of 311403 is 311403.

3. What are the Factors of 311409?

Answer: Factors of 311409 are 1, 3, 7, 9, 21, 63, 4943, 14829, 34601, 44487, 103803, 311409. There are 12 integers that are factors of 311409. The greatest factor of 311409 is 311409.

4. How to Find the LCM of 311403 and 311409?

Answer:

Least Common Multiple of 311403 and 311409 = 32324565609

Step 1: Find the prime factorization of 311403

311403 = 3 x 103801

Step 2: Find the prime factorization of 311409

311409 = 3 x 3 x 7 x 4943

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

LCM = 32324565609 = 3 x 3 x 7 x 4943 x 103801

Step 4: Therefore, the least common multiple of 311403 and 311409 is 32324565609.