Least Common Multiple of 313441 and 313448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313441 and 313448 the smallest integer that is 98247454568 that is divisible by both numbers.

Least Common Multiple (LCM) of 313441 and 313448 is 98247454568.

LCM(313441,313448) = 98247454568

LCM of 313441 and 313448

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

LCM of:
and

Least Common Multiple of 313441 and 313448

LCM of 313441 and 313448 is 98247454568

Least common multiple can be found by multiplying the highest exponent prime factors of 313441 and 313448. First we will calculate the prime factors of 313441 and 313448.

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

Prime Factorization of 313448


2 313448
2 156724
2 78362
39181 39181
1

Prime factors of 313448 are 2,39181. Prime factorization of 313448 in exponential form is:

313448 = 23×391811

Now multiplying the highest exponent prime factors to calculate the LCM of 313441 and 313448.

LCM(313441,313448) = 23×311×101111×391811
LCM(313441,313448) = 98247454568

Factors of 313441

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

1, 31, 10111, 313441

Factors of 313448

List of positive integer factors of 313448 that divides 313448 without a remainder.

1, 2, 4, 8, 39181, 78362, 156724, 313448

Least Common Multiple of 313441 and 313448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313441 and 313448, than apply into the LCM equation.

GCF(313441,313448) = 1
LCM(313441,313448) = ( 313441 × 313448) / 1
LCM(313441,313448) = 98247454568 / 1
LCM(313441,313448) = 98247454568

Properties of LCM 313441 and 313448

(i) The LCM of 313448 and 313441 is associative

LCM of 313441 and 313448 = LCM of 313448 and 313441

Related Least Common Multiples of 313441

Related Least Common Multiples of 313448

Frequently Asked Questions on LCM of 313441 and 313448

1. What is the LCM of 313441 and 313448?

Answer: LCM of 313441 and 313448 is 98247454568.

2. 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.

3. What are the Factors of 313448?

Answer: Factors of 313448 are 1, 2, 4, 8, 39181, 78362, 156724, 313448. There are 8 integers that are factors of 313448. The greatest factor of 313448 is 313448.

4. How to Find the LCM of 313441 and 313448?

Answer:

Least Common Multiple of 313441 and 313448 = 98247454568

Step 1: Find the prime factorization of 313441

313441 = 31 x 10111

Step 2: Find the prime factorization of 313448

313448 = 2 x 2 x 2 x 39181

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

LCM = 98247454568 = 2 x 2 x 2 x 31 x 10111 x 39181

Step 4: Therefore, the least common multiple of 313441 and 313448 is 98247454568.