Least Common Multiple of 313446 and 313453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313446 and 313453 the smallest integer that is 14035798434 that is divisible by both numbers.

Least Common Multiple (LCM) of 313446 and 313453 is 14035798434.

LCM(313446,313453) = 14035798434

LCM of 313446 and 313453

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

LCM of:
and

Least Common Multiple of 313446 and 313453

LCM of 313446 and 313453 is 14035798434

Least common multiple can be found by multiplying the highest exponent prime factors of 313446 and 313453. First we will calculate the prime factors of 313446 and 313453.

Prime Factorization of 313446


2 313446
3 156723
7 52241
17 7463
439 439
1

Prime factors of 313446 are 2, 3, 7, 17,439. Prime factorization of 313446 in exponential form is:

313446 = 21×31×71×171×4391

Prime Factorization of 313453


7 313453
7 44779
6397 6397
1

Prime factors of 313453 are 7,6397. Prime factorization of 313453 in exponential form is:

313453 = 72×63971

Now multiplying the highest exponent prime factors to calculate the LCM of 313446 and 313453.

LCM(313446,313453) = 21×31×72×171×4391×63971
LCM(313446,313453) = 14035798434

Factors of 313446

List of positive integer factors of 313446 that divides 313446 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 439, 714, 878, 1317, 2634, 3073, 6146, 7463, 9219, 14926, 18438, 22389, 44778, 52241, 104482, 156723, 313446

Factors of 313453

List of positive integer factors of 313453 that divides 313453 without a remainder.

1, 7, 49, 6397, 44779, 313453

Least Common Multiple of 313446 and 313453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313446 and 313453, than apply into the LCM equation.

GCF(313446,313453) = 7
LCM(313446,313453) = ( 313446 × 313453) / 7
LCM(313446,313453) = 98250589038 / 7
LCM(313446,313453) = 14035798434

Properties of LCM 313446 and 313453

(i) The LCM of 313453 and 313446 is associative

LCM of 313446 and 313453 = LCM of 313453 and 313446

Related Least Common Multiples of 313446

Related Least Common Multiples of 313453

Frequently Asked Questions on LCM of 313446 and 313453

1. What is the LCM of 313446 and 313453?

Answer: LCM of 313446 and 313453 is 14035798434.

2. What are the Factors of 313446?

Answer: Factors of 313446 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 439, 714, 878, 1317, 2634, 3073, 6146, 7463, 9219, 14926, 18438, 22389, 44778, 52241, 104482, 156723, 313446. There are 32 integers that are factors of 313446. The greatest factor of 313446 is 313446.

3. What are the Factors of 313453?

Answer: Factors of 313453 are 1, 7, 49, 6397, 44779, 313453. There are 6 integers that are factors of 313453. The greatest factor of 313453 is 313453.

4. How to Find the LCM of 313446 and 313453?

Answer:

Least Common Multiple of 313446 and 313453 = 14035798434

Step 1: Find the prime factorization of 313446

313446 = 2 x 3 x 7 x 17 x 439

Step 2: Find the prime factorization of 313453

313453 = 7 x 7 x 6397

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

LCM = 14035798434 = 2 x 3 x 7 x 7 x 17 x 439 x 6397

Step 4: Therefore, the least common multiple of 313446 and 313453 is 14035798434.