Least Common Multiple of 313438 and 313446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313438 and 313446 the smallest integer that is 49122943674 that is divisible by both numbers.

Least Common Multiple (LCM) of 313438 and 313446 is 49122943674.

LCM(313438,313446) = 49122943674

LCM of 313438 and 313446

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

LCM of:
and

Least Common Multiple of 313438 and 313446

LCM of 313438 and 313446 is 49122943674

Least common multiple can be found by multiplying the highest exponent prime factors of 313438 and 313446. First we will calculate the prime factors of 313438 and 313446.

Prime Factorization of 313438


2 313438
156719 156719
1

Prime factors of 313438 are 2,156719. Prime factorization of 313438 in exponential form is:

313438 = 21×1567191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 313438 and 313446.

LCM(313438,313446) = 21×31×71×171×4391×1567191
LCM(313438,313446) = 49122943674

Factors of 313438

List of positive integer factors of 313438 that divides 313438 without a remainder.

1, 2, 156719, 313438

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

Least Common Multiple of 313438 and 313446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313438 and 313446, than apply into the LCM equation.

GCF(313438,313446) = 2
LCM(313438,313446) = ( 313438 × 313446) / 2
LCM(313438,313446) = 98245887348 / 2
LCM(313438,313446) = 49122943674

Properties of LCM 313438 and 313446

(i) The LCM of 313446 and 313438 is associative

LCM of 313438 and 313446 = LCM of 313446 and 313438

Related Least Common Multiples of 313438

Related Least Common Multiples of 313446

Frequently Asked Questions on LCM of 313438 and 313446

1. What is the LCM of 313438 and 313446?

Answer: LCM of 313438 and 313446 is 49122943674.

2. What are the Factors of 313438?

Answer: Factors of 313438 are 1, 2, 156719, 313438. There are 4 integers that are factors of 313438. The greatest factor of 313438 is 313438.

3. 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.

4. How to Find the LCM of 313438 and 313446?

Answer:

Least Common Multiple of 313438 and 313446 = 49122943674

Step 1: Find the prime factorization of 313438

313438 = 2 x 156719

Step 2: Find the prime factorization of 313446

313446 = 2 x 3 x 7 x 17 x 439

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

LCM = 49122943674 = 2 x 3 x 7 x 17 x 439 x 156719

Step 4: Therefore, the least common multiple of 313438 and 313446 is 49122943674.