Least Common Multiple of 313437 and 313441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313437 and 313441 the smallest integer that is 98244006717 that is divisible by both numbers.

Least Common Multiple (LCM) of 313437 and 313441 is 98244006717.

LCM(313437,313441) = 98244006717

LCM of 313437 and 313441

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

LCM of:
and

Least Common Multiple of 313437 and 313441

LCM of 313437 and 313441 is 98244006717

Least common multiple can be found by multiplying the highest exponent prime factors of 313437 and 313441. First we will calculate the prime factors of 313437 and 313441.

Prime Factorization of 313437


3 313437
104479 104479
1

Prime factors of 313437 are 3,104479. Prime factorization of 313437 in exponential form is:

313437 = 31×1044791

Prime Factorization of 313441


31 313441
10111 10111
1

Prime factors of 313441 are 31,10111. Prime factorization of 313441 in exponential form is:

313441 = 311×101111

Now multiplying the highest exponent prime factors to calculate the LCM of 313437 and 313441.

LCM(313437,313441) = 31×311×101111×1044791
LCM(313437,313441) = 98244006717

Factors of 313437

List of positive integer factors of 313437 that divides 313437 without a remainder.

1, 3, 104479, 313437

Factors of 313441

List of positive integer factors of 313441 that divides 313441 without a remainder.

1, 31, 10111, 313441

Least Common Multiple of 313437 and 313441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313437 and 313441, than apply into the LCM equation.

GCF(313437,313441) = 1
LCM(313437,313441) = ( 313437 × 313441) / 1
LCM(313437,313441) = 98244006717 / 1
LCM(313437,313441) = 98244006717

Properties of LCM 313437 and 313441

(i) The LCM of 313441 and 313437 is associative

LCM of 313437 and 313441 = LCM of 313441 and 313437

Related Least Common Multiples of 313437

Related Least Common Multiples of 313441

Frequently Asked Questions on LCM of 313437 and 313441

1. What is the LCM of 313437 and 313441?

Answer: LCM of 313437 and 313441 is 98244006717.

2. What are the Factors of 313437?

Answer: Factors of 313437 are 1, 3, 104479, 313437. There are 4 integers that are factors of 313437. The greatest factor of 313437 is 313437.

3. What are the Factors of 313441?

Answer: Factors of 313441 are 1, 31, 10111, 313441. There are 4 integers that are factors of 313441. The greatest factor of 313441 is 313441.

4. How to Find the LCM of 313437 and 313441?

Answer:

Least Common Multiple of 313437 and 313441 = 98244006717

Step 1: Find the prime factorization of 313437

313437 = 3 x 104479

Step 2: Find the prime factorization of 313441

313441 = 31 x 10111

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

LCM = 98244006717 = 3 x 31 x 10111 x 104479

Step 4: Therefore, the least common multiple of 313437 and 313441 is 98244006717.