Least Common Multiple of 311403 and 311407

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 311407 the smallest integer that is 96973074021 that is divisible by both numbers.

Least Common Multiple (LCM) of 311403 and 311407 is 96973074021.

LCM(311403,311407) = 96973074021

LCM of 311403 and 311407

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

LCM of:
and

Least Common Multiple of 311403 and 311407

LCM of 311403 and 311407 is 96973074021

Least common multiple can be found by multiplying the highest exponent prime factors of 311403 and 311407. First we will calculate the prime factors of 311403 and 311407.

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 311407


311407 311407
1

Prime factors of 311407 are 311407. Prime factorization of 311407 in exponential form is:

311407 = 3114071

Now multiplying the highest exponent prime factors to calculate the LCM of 311403 and 311407.

LCM(311403,311407) = 31×1038011×3114071
LCM(311403,311407) = 96973074021

Factors of 311403

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

1, 3, 103801, 311403

Factors of 311407

List of positive integer factors of 311407 that divides 311407 without a remainder.

1, 311407

Least Common Multiple of 311403 and 311407 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 311407, than apply into the LCM equation.

GCF(311403,311407) = 1
LCM(311403,311407) = ( 311403 × 311407) / 1
LCM(311403,311407) = 96973074021 / 1
LCM(311403,311407) = 96973074021

Properties of LCM 311403 and 311407

(i) The LCM of 311407 and 311403 is associative

LCM of 311403 and 311407 = LCM of 311407 and 311403

Related Least Common Multiples of 311403

Related Least Common Multiples of 311407

Frequently Asked Questions on LCM of 311403 and 311407

1. What is the LCM of 311403 and 311407?

Answer: LCM of 311403 and 311407 is 96973074021.

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 311407?

Answer: Factors of 311407 are 1, 311407. There are 2 integers that are factors of 311407. The greatest factor of 311407 is 311407.

4. How to Find the LCM of 311403 and 311407?

Answer:

Least Common Multiple of 311403 and 311407 = 96973074021

Step 1: Find the prime factorization of 311403

311403 = 3 x 103801

Step 2: Find the prime factorization of 311407

311407 = 311407

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

LCM = 96973074021 = 3 x 103801 x 311407

Step 4: Therefore, the least common multiple of 311403 and 311407 is 96973074021.